87970464000 has 864 divisors, whose sum is σ = 331485912576. Its totient is φ = 22383820800.

The previous prime is 87970463969. The next prime is 87970464007. The reversal of 87970464000 is 46407978.

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

It is not an unprimeable number, because it can be changed into a prime (87970464007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 906911952 + ... + 906912048.

Almost surely, 2^87970464000 is an apocalyptic number.

87970464000 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 87970464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165742956288).

87970464000 is an abundant number, since it is smaller than the sum of its proper divisors (243515448576).

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

87970464000 is a wasteful number, since it uses less digits than its factorization.

87970464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 87970464000 in words is "eighty-seven billion, nine hundred seventy million, four hundred sixty-four thousand".