4629952752768 has 160 divisors (see below), whose sum is σ = 15747045240960. Its totient is φ = 1322843622912.

The previous prime is 4629952752767. The next prime is 4629952752797. The reversal of 4629952752768 is 8672572599264.

4629952752768 is a `hidden beast` number, since 4 + 6 + 2 + 9 + 95 + 2 + 7 + 527 + 6 + 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 = 4629952752696 and 4629952752705.

It is not an unprimeable number, because it can be changed into a prime (4629952752767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31824696 + ... + 31969847.

It is an arithmetic number, because the mean of its divisors is an integer number (98419032756).

Almost surely, 2^{4629952752768} is an apocalyptic number.

4629952752768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4629952752768 is an abundant number, since it is smaller than the sum of its proper divisors (11117092488192).

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

4629952752768 is an equidigital number, since it uses as much as digits as its factorization.

4629952752768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63794576 (or 63794555 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 4629952752768 in words is "four trillion, six hundred twenty-nine billion, nine hundred fifty-two million, seven hundred fifty-two thousand, seven hundred sixty-eight".