70983998400 has 672 divisors, whose sum is σ = 286783930368. Its totient is φ = 15013785600.

The previous prime is 70983998381. The next prime is 70983998417. The reversal of 70983998400 is 489938907.

It is a tau number, because it is divible by the number of its divisors (672).

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, 23955319 + ... + 23958281.

Almost surely, 2^70983998400 is an apocalyptic number.

70983998400 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 70983998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143391965184).

70983998400 is an abundant number, since it is smaller than the sum of its proper divisors (215799931968).

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

70983998400 is a wasteful number, since it uses less digits than its factorization.

70983998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 70983998400 in words is "seventy billion, nine hundred eighty-three million, nine hundred ninety-eight thousand, four hundred".