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6680347632 = 2432737247103
BaseRepresentation
bin1100011100010111…
…00000001111110000
3122020120020211011200
412032023200033300
5102140132111012
63022515011200
7324355006110
oct61613401760
918216224150
106680347632
112918978062
121365299b00
1382601702a
1447530d040
152917273dc
hex18e2e03f0

6680347632 has 360 divisors, whose sum is σ = 22644550656. Its totient is φ = 1799926272.

The previous prime is 6680347561. The next prime is 6680347633. The reversal of 6680347632 is 2367430866.

6680347632 is a `hidden beast` number, since 6 + 6 + 8 + 0 + 3 + 4 + 7 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6680347633) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64857693 + ... + 64857795.

Almost surely, 26680347632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6680347632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11322275328).

6680347632 is an abundant number, since it is smaller than the sum of its proper divisors (15964203024).

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

6680347632 is a wasteful number, since it uses less digits than its factorization.

6680347632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 6680347632 is about 81733.3936160735. The cubic root of 6680347632 is about 1883.3586062306.

The spelling of 6680347632 in words is "six billion, six hundred eighty million, three hundred forty-seven thousand, six hundred thirty-two".