7972863034500 has 1152 divisors, whose sum is σ = 32425877352960. Its totient is φ = 1676505600000.

The previous prime is 7972863034469. The next prime is 7972863034561. The reversal of 7972863034500 is 54303682797.

7972863034500 is a `hidden beast` number, since 7 + 9 + 7 + 286 + 303 + 4 + 50 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2846433100 + ... + 2846435900.

It is an arithmetic number, because the mean of its divisors is an integer number (28147462980).

Almost surely, 2^{7972863034500} is an apocalyptic number.

7972863034500 is a gapful number since it is divisible by the number (70) 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 7972863034500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16212938676480).

7972863034500 is an abundant number, since it is smaller than the sum of its proper divisors (24453014318460).

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

7972863034500 is a wasteful number, since it uses less digits than its factorization.

7972863034500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 7972863034500 in words is "seven trillion, nine hundred seventy-two billion, eight hundred sixty-three million, thirty-four thousand, five hundred".