70991984000 has 768 divisors, whose sum is σ = 222900387840. Its totient is φ = 22353408000.

The previous prime is 70991983999. The next prime is 70991984051. The reversal of 70991984000 is 48919907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 558991937 + ... + 558992063.

It is an arithmetic number, because the mean of its divisors is an integer number (290234880).

Almost surely, 2^70991984000 is an apocalyptic number.

70991984000 is a gapful number since it is divisible by the number (70) 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 70991984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111450193920).

70991984000 is an abundant number, since it is smaller than the sum of its proper divisors (151908403840).

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

70991984000 is a wasteful number, since it uses less digits than its factorization.

70991984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 47.

The spelling of 70991984000 in words is "seventy billion, nine hundred ninety-one million, nine hundred eighty-four thousand".