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6076327680 = 2832517192371
BaseRepresentation
bin1011010100010110…
…10110011100000000
3120200110200102120100
411222023112130000
544421014441210
62442540442400
7303401635023
oct55213263400
916613612510
106076327680
112638a23a15
121216b49400
1375ab41787
14418ddb1ba
152586b35c0
hex16a2d6700

6076327680 has 864 divisors, whose sum is σ = 24794864640. Its totient is φ = 1362493440.

The previous prime is 6076327679. The next prime is 6076327687. The reversal of 6076327680 is 867236706.

6076327680 is a `hidden beast` number, since 6 + 0 + 7 + 632 + 7 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6076327687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85582045 + ... + 85582115.

It is an arithmetic number, because the mean of its divisors is an integer number (28697760).

Almost surely, 26076327680 is an apocalyptic number.

6076327680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6076327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12397432320).

6076327680 is an abundant number, since it is smaller than the sum of its proper divisors (18718536960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6076327680 is a wasteful number, since it uses less digits than its factorization.

6076327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6076327680 is about 77950.8029464739. The cubic root of 6076327680 is about 1824.7935143879.

The spelling of 6076327680 in words is "six billion, seventy-six million, three hundred twenty-seven thousand, six hundred eighty".