70077934080000 has 7020 divisors, whose sum is σ = 353057820395280. Its totient is φ = 13795246080000.

The previous prime is 70077934079999. The next prime is 70077934080079. The reversal of 70077934080000 is 8043977007.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 3688312319991 + ... + 3688312320009.

Almost surely, 2^{70077934080000} is an apocalyptic number.

70077934080000 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 70077934080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176528910197640).

70077934080000 is an abundant number, since it is smaller than the sum of its proper divisors (282979886315280).

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

70077934080000 is an equidigital number, since it uses as much as digits as its factorization.

70077934080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 70077934080000 in words is "seventy trillion, seventy-seven billion, nine hundred thirty-four million, eighty thousand".