70712961200 has 480 divisors, whose sum is σ = 210476528640. Its totient is φ = 22295347200.

The previous prime is 70712961197. The next prime is 70712961227. The reversal of 70712961200 is 216921707.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 366388304 + ... + 366388496.

It is an arithmetic number, because the mean of its divisors is an integer number (438492768).

Almost surely, 2^70712961200 is an apocalyptic number.

70712961200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70712961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105238264320).

70712961200 is an abundant number, since it is smaller than the sum of its proper divisors (139763567440).

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

70712961200 is a wasteful number, since it uses less digits than its factorization.

70712961200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 35.

The spelling of 70712961200 in words is "seventy billion, seven hundred twelve million, nine hundred sixty-one thousand, two hundred".