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6040615680 = 283251173653
BaseRepresentation
bin1011010000000110…
…00111101100000000
3120120222111001220200
411220003013230000
544332344200210
62435223205200
7302456246301
oct55003075400
916528431820
106040615680
11261a851a70
121206ba6800
13753619908
144143827a8
152554ac0c0
hex1680c7b00

6040615680 has 432 divisors, whose sum is σ = 23147613216. Its totient is φ = 1442119680.

The previous prime is 6040615621. The next prime is 6040615687. The reversal of 6040615680 is 865160406.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6040615687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9250234 + ... + 9250886.

It is an arithmetic number, because the mean of its divisors is an integer number (53582438).

Almost surely, 26040615680 is an apocalyptic number.

6040615680 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 6040615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11573806608).

6040615680 is an abundant number, since it is smaller than the sum of its proper divisors (17106997536).

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

6040615680 is a wasteful number, since it uses less digits than its factorization.

6040615680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6040615680 is about 77721.3978258240. The cubic root of 6040615680 is about 1821.2115750323.

The spelling of 6040615680 in words is "six billion, forty million, six hundred fifteen thousand, six hundred eighty".