70346128320 has 1008 divisors, whose sum is σ = 279576958752. Its totient is φ = 16821043200.

The previous prime is 70346128319. The next prime is 70346128343. The reversal of 70346128320 is 2382164307.

It is a happy number.

70346128320 is a `hidden beast` number, since 7 + 0 + 3 + 4 + 612 + 8 + 32 + 0 = 666.

It is a super-2 number, since 2×70346128320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 696496270 + ... + 696496370.

It is an arithmetic number, because the mean of its divisors is an integer number (277358094).

Almost surely, 2^70346128320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70346128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139788479376).

70346128320 is an abundant number, since it is smaller than the sum of its proper divisors (209230830432).

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

70346128320 is a wasteful number, since it uses less digits than its factorization.

70346128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 70346128320 in words is "seventy billion, three hundred forty-six million, one hundred twenty-eight thousand, three hundred twenty".