746085358030464 has 192 divisors, whose sum is σ = 2392872448824000. Its totient is φ = 221746731687936.

The previous prime is 746085358030429. The next prime is 746085358030487. The reversal of 746085358030464 is 464030853580647.

It is a happy number.

746085358030464 is a `hidden beast` number, since 7 + 4 + 6 + 0 + 8 + 5 + 3 + 580 + 3 + 0 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×746085358030464² (a number of 31 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1002172084 + ... + 1002916275.

It is an arithmetic number, because the mean of its divisors is an integer number (12462877337625).

Almost surely, 2^{746085358030464} is an apocalyptic number.

It is an amenable number.

746085358030464 is an abundant number, since it is smaller than the sum of its proper divisors (1646787090793536).

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

746085358030464 is a wasteful number, since it uses less digits than its factorization.

746085358030464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005088415 (or 2005088400 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 746085358030464 in words is "seven hundred forty-six trillion, eighty-five billion, three hundred fifty-eight million, thirty thousand, four hundred sixty-four".