70735680000 has 500 divisors, whose sum is σ = 263921447790. Its totient is φ = 18855936000.

The previous prime is 70735679983. The next prime is 70735680019. The reversal of 70735680000 is 8653707.

It can be written as a sum of positive squares in 5 ways, for example, as 11019960576 + 59715719424 = 104976^2 + 244368^2 .

It is a tau number, because it is divible by the number of its divisors (500).

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 49 ways as a sum of consecutive naturals, for example, 25918636 + ... + 25921364.

Almost surely, 2^70735680000 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 70735680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131960723895).

70735680000 is an abundant number, since it is smaller than the sum of its proper divisors (193185767790).

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

70735680000 is an frugal number, since it uses more digits than its factorization.

70735680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 70735680000 in words is "seventy billion, seven hundred thirty-five million, six hundred eighty thousand".