70146793728 has 972 divisors, whose sum is σ = 254485278684. Its totient is φ = 18490982400.

The previous prime is 70146793723. The next prime is 70146793729. The reversal of 70146793728 is 82739764107.

70146793728 is a `hidden beast` number, since 70 + 1 + 467 + 93 + 7 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25764102144 + 44382691584 = 160512^2 + 210672^2 .

It is not an unprimeable number, because it can be changed into a prime (70146793723) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1710897388 + ... + 1710897428.

Almost surely, 2^70146793728 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 70146793728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127242639342).

70146793728 is an abundant number, since it is smaller than the sum of its proper divisors (184338484956).

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

70146793728 is a wasteful number, since it uses less digits than its factorization.

70146793728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 70146793728 in words is "seventy billion, one hundred forty-six million, seven hundred ninety-three thousand, seven hundred twenty-eight".