70801920000 has 780 divisors, whose sum is σ = 292734544960. Its totient is φ = 16146432000.

The previous prime is 70801919989. The next prime is 70801920001. The reversal of 70801920000 is 2910807.

It is not an unprimeable number, because it can be changed into a prime (70801920001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 161279781 + ... + 161280219.

Almost surely, 2^70801920000 is an apocalyptic number.

70801920000 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 70801920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146367272480).

70801920000 is an abundant number, since it is smaller than the sum of its proper divisors (221932624960).

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

70801920000 is an equidigital number, since it uses as much as digits as its factorization.

70801920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 70801920000 in words is "seventy billion, eight hundred one million, nine hundred twenty thousand".