87604957440 has 1728 divisors, whose sum is σ = 416553725952. Its totient is φ = 16411852800.

The previous prime is 87604957411. The next prime is 87604957507. The reversal of 87604957440 is 4475940678.

87604957440 is a `hidden beast` number, since 8 + 7 + 60 + 4 + 9 + 574 + 4 + 0 = 666.

It is a super-2 number, since 2×87604957440² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 818737867 + ... + 818737973.

It is an arithmetic number, because the mean of its divisors is an integer number (241061184).

Almost surely, 2^87604957440 is an apocalyptic number.

87604957440 is a gapful number since it is divisible by the number (80) 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 87604957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208276862976).

87604957440 is an abundant number, since it is smaller than the sum of its proper divisors (328948768512).

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

87604957440 is a wasteful number, since it uses less digits than its factorization.

87604957440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 87604957440 in words is "eighty-seven billion, six hundred four million, nine hundred fifty-seven thousand, four hundred forty".