706764474000 has 1280 divisors, whose sum is σ = 2878535761920. Its totient is φ = 164540160000.

The previous prime is 706764473977. The next prime is 706764474001. The reversal of 706764474000 is 474467607.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (706764474001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1022813655 + ... + 1022814345.

It is an arithmetic number, because the mean of its divisors is an integer number (2248856064).

Almost surely, 2^706764474000 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 706764474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439267880960).

706764474000 is an abundant number, since it is smaller than the sum of its proper divisors (2171771287920).

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

706764474000 is a wasteful number, since it uses less digits than its factorization.

706764474000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 706764474000 in words is "seven hundred six billion, seven hundred sixty-four million, four hundred seventy-four thousand".