4751695872000 has 3264 divisors, whose sum is σ = 22864083959808. Its totient is φ = 955514880000.

The previous prime is 4751695871959. The next prime is 4751695872013. The reversal of 4751695872000 is 2785961574.

4751695872000 is a `hidden beast` number, since 4 + 7 + 51 + 6 + 9 + 587 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×4751695872000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 153280511985 + ... + 153280512015.

Almost surely, 2^{4751695872000} is an apocalyptic number.

4751695872000 is a gapful number since it is divisible by the number (40) 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 4751695872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11432041979904).

4751695872000 is an abundant number, since it is smaller than the sum of its proper divisors (18112388087808).

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

4751695872000 is an frugal number, since it uses more digits than its factorization.

4751695872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 4751695872000 in words is "four trillion, seven hundred fifty-one billion, six hundred ninety-five million, eight hundred seventy-two thousand".