706252800000 has 1152 divisors, whose sum is σ = 2723624114400. Its totient is φ = 162201600000.

The previous prime is 706252799977. The next prime is 706252800007. The reversal of 706252800000 is 8252607.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (706252800007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37171199991 + ... + 37171200009.

Almost surely, 2^706252800000 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 706252800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361812057200).

706252800000 is an abundant number, since it is smaller than the sum of its proper divisors (2017371314400).

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

706252800000 is an frugal number, since it uses more digits than its factorization.

706252800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 706252800000 in words is "seven hundred six billion, two hundred fifty-two million, eight hundred thousand".