70102093824 has 351 divisors, whose sum is σ = 236754195717. Its totient is φ = 19927498752.

The previous prime is 70102093813. The next prime is 70102093861. The reversal of 70102093824 is 42839020107.

The square root of 70102093824 is 264768.

It is a perfect power (a square), and thus also a powerful number.

70102093824 is a `hidden beast` number, since 70 + 1 + 0 + 209 + 382 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68685926400 + 1416167424 = 262080^2 + 37632^2 .

It is a super-3 number, since 3×70102093824³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 355848094 + ... + 355848290.

Almost surely, 2^70102093824 is an apocalyptic number.

70102093824 is the 264768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70102093824

70102093824 is an abundant number, since it is smaller than the sum of its proper divisors (166652101893).

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

70102093824 is an equidigital number, since it uses as much as digits as its factorization.

70102093824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 70102093824 by its sum of digits (36), we get a square (2523675377664 = 1588608²).

70102093824 divided by its sum of digits (36) gives a square (1947280384 = 44128²).

The spelling of 70102093824 in words is "seventy billion, one hundred two million, ninety-three thousand, eight hundred twenty-four".