115578476640 has 768 divisors, whose sum is σ = 470527626240. Its totient is φ = 26186711040.

The previous prime is 115578476633. The next prime is 115578476683. The reversal of 115578476640 is 46674875511.

115578476640 is a `hidden beast` number, since 1 + 1 + 5 + 578 + 4 + 7 + 6 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 139755907 + ... + 139756733.

It is an arithmetic number, because the mean of its divisors is an integer number (612666180).

Almost surely, 2^115578476640 is an apocalyptic number.

115578476640 is a gapful number since it is divisible by the number (10) 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 115578476640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235263813120).

115578476640 is an abundant number, since it is smaller than the sum of its proper divisors (354949149600).

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

115578476640 is a wasteful number, since it uses less digits than its factorization.

115578476640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 115578476640 in words is "one hundred fifteen billion, five hundred seventy-eight million, four hundred seventy-six thousand, six hundred forty".