70880980262400 has 5040 divisors, whose sum is σ = 354212749178640. Its totient is φ = 13845410611200.

The previous prime is 70880980262387. The next prime is 70880980262467. The reversal of 70880980262400 is 426208908807.

70880980262400 is a `hidden beast` number, since 7 + 0 + 8 + 8 + 0 + 9 + 8 + 0 + 2 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a super-2 number, since 2×70880980262400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 85501785186 + ... + 85501786014.

Almost surely, 2^{70880980262400} is an apocalyptic number.

70880980262400 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 70880980262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177106374589320).

70880980262400 is an abundant number, since it is smaller than the sum of its proper divisors (283331768916240).

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

70880980262400 is a wasteful number, since it uses less digits than its factorization.

70880980262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 70880980262400 in words is "seventy trillion, eight hundred eighty billion, nine hundred eighty million, two hundred sixty-two thousand, four hundred".