4972083264000 has 800 divisors, whose sum is σ = 18601697290176. Its totient is φ = 1325552947200.

The previous prime is 4972083263977. The next prime is 4972083264011. The reversal of 4972083264000 is 4623802794.

4972083264000 is a `hidden beast` number, since 4 + 9 + 7 + 208 + 32 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×4972083264000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1259710027 + ... + 1259713973.

Almost surely, 2^{4972083264000} is an apocalyptic number.

4972083264000 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 4972083264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9300848645088).

4972083264000 is an abundant number, since it is smaller than the sum of its proper divisors (13629614026176).

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

4972083264000 is an frugal number, since it uses more digits than its factorization.

4972083264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 4972083264000 in words is "four trillion, nine hundred seventy-two billion, eighty-three million, two hundred sixty-four thousand".