87764472000 has 1120 divisors, whose sum is σ = 356250825216. Its totient is φ = 21233664000.

The previous prime is 87764471953. The next prime is 87764472011. The reversal of 87764472000 is 27446778.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 341495872 + ... + 341496128.

Almost surely, 2^87764472000 is an apocalyptic number.

87764472000 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 87764472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178125412608).

87764472000 is an abundant number, since it is smaller than the sum of its proper divisors (268486353216).

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

87764472000 is a wasteful number, since it uses less digits than its factorization.

87764472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 87764472000 in words is "eighty-seven billion, seven hundred sixty-four million, four hundred seventy-two thousand".