4626527917968 has 120 divisors (see below), whose sum is σ = 14125609742400. Its totient is φ = 1401910682880.

The previous prime is 4626527917943. The next prime is 4626527918027. The reversal of 4626527917968 is 8697197256264.

4626527917968 is a `hidden beast` number, since 4 + 6 + 2 + 6 + 527 + 9 + 1 + 7 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4626527917896 and 4626527917905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40095205 + ... + 40210427.

It is an arithmetic number, because the mean of its divisors is an integer number (117713414520).

Almost surely, 2^{4626527917968} is an apocalyptic number.

4626527917968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4626527917968 is an abundant number, since it is smaller than the sum of its proper divisors (9499081824432).

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

4626527917968 is a wasteful number, since it uses less digits than its factorization.

4626527917968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140597 (or 140588 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 4626527917968 in words is "four trillion, six hundred twenty-six billion, five hundred twenty-seven million, nine hundred seventeen thousand, nine hundred sixty-eight".