70083014400 has 1620 divisors, whose sum is σ = 314655485760. Its totient is φ = 15328051200.

The previous prime is 70083014383. The next prime is 70083014429. The reversal of 70083014400 is 441038007.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 787449556 + ... + 787449644.

Almost surely, 2^70083014400 is an apocalyptic number.

70083014400 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 70083014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157327742880).

70083014400 is an abundant number, since it is smaller than the sum of its proper divisors (244572471360).

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

70083014400 is a wasteful number, since it uses less digits than its factorization.

70083014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 70083014400 in words is "seventy billion, eighty-three million, fourteen thousand, four hundred".