87469793840 has 160 divisors (see below), whose sum is σ = 251496403200. Its totient is φ = 27815132160.

The previous prime is 87469793819. The next prime is 87469793849. The reversal of 87469793840 is 4839796478.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is not an unprimeable number, because it can be changed into a prime (87469793849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16151 + ... + 418569.

It is an arithmetic number, because the mean of its divisors is an integer number (1571852520).

Almost surely, 2^87469793840 is an apocalyptic number.

87469793840 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 87469793840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125748201600).

87469793840 is an abundant number, since it is smaller than the sum of its proper divisors (164026609360).

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

87469793840 is a wasteful number, since it uses less digits than its factorization.

87469793840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402475 (or 402469 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 65.

The spelling of 87469793840 in words is "eighty-seven billion, four hundred sixty-nine million, seven hundred ninety-three thousand, eight hundred forty".