4757693690016 has 960 divisors, whose sum is σ = 15542284665600. Its totient is φ = 1422749712384.

The previous prime is 4757693689979. The next prime is 4757693690023. The reversal of 4757693690016 is 6100963967574.

4757693690016 is a `hidden beast` number, since 47 + 576 + 9 + 3 + 6 + 9 + 0 + 0 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12553281315 + ... + 12553281693.

It is an arithmetic number, because the mean of its divisors is an integer number (16189879860).

Almost surely, 2^{4757693690016} is an apocalyptic number.

4757693690016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4757693690016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7771142332800).

4757693690016 is an abundant number, since it is smaller than the sum of its proper divisors (10784590975584).

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

4757693690016 is a wasteful number, since it uses less digits than its factorization.

4757693690016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 4757693690016 in words is "four trillion, seven hundred fifty-seven billion, six hundred ninety-three million, six hundred ninety thousand, sixteen".