70654057684224 has 1152 divisors, whose sum is σ = 238369775616000. Its totient is φ = 18515377520640.

The previous prime is 70654057684181. The next prime is 70654057684261. The reversal of 70654057684224 is 42248675045607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21223806592 + ... + 21223809920.

It is an arithmetic number, because the mean of its divisors is an integer number (206918208000).

Almost surely, 2^{70654057684224} 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 70654057684224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119184887808000).

70654057684224 is an abundant number, since it is smaller than the sum of its proper divisors (167715717931776).

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

70654057684224 is a wasteful number, since it uses less digits than its factorization.

70654057684224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 60.

The spelling of 70654057684224 in words is "seventy trillion, six hundred fifty-four billion, fifty-seven million, six hundred eighty-four thousand, two hundred twenty-four".