70353149760 has 336 divisors, whose sum is σ = 253235161296. Its totient is φ = 17907941376.

The previous prime is 70353149729. The next prime is 70353149773. The reversal of 70353149760 is 6794135307.

70353149760 is a `hidden beast` number, since 7 + 0 + 3 + 531 + 49 + 76 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13144163904 + 57208985856 = 114648^2 + 239184^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5641452 + ... + 5653908.

Almost surely, 2^70353149760 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 70353149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126617580648).

70353149760 is an abundant number, since it is smaller than the sum of its proper divisors (182882011536).

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

70353149760 is a wasteful number, since it uses less digits than its factorization.

70353149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12570 (or 12557 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 70353149760 in words is "seventy billion, three hundred fifty-three million, one hundred forty-nine thousand, seven hundred sixty".