70394702400 has 945 divisors, whose sum is σ = 288723048537. Its totient is φ = 16810675200.

The previous prime is 70394702393. The next prime is 70394702419. The reversal of 70394702400 is 420749307.

The square root of 70394702400 is 265320.

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

It can be written as a sum of positive squares in only one way, i.e., 25342092864 + 45052609536 = 159192^2 + 212256^2 .

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 134 ways as a sum of consecutive naturals, for example, 1050667167 + ... + 1050667233.

Almost surely, 2^70394702400 is an apocalyptic number.

70394702400 is the 265320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70394702400

70394702400 is an abundant number, since it is smaller than the sum of its proper divisors (218328346137).

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

70394702400 is a wasteful number, since it uses less digits than its factorization.

70394702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Multiplying 70394702400 by its sum of digits (36), we get a square (2534209286400 = 1591920²).

70394702400 divided by its sum of digits (36) gives a square (1955408400 = 44220²).

The spelling of 70394702400 in words is "seventy billion, three hundred ninety-four million, seven hundred two thousand, four hundred".