7963082075520 has 1024 divisors, whose sum is σ = 33193939968000. Its totient is φ = 1778677678080.

The previous prime is 7963082075471. The next prime is 7963082075551. The reversal of 7963082075520 is 255702803697.

7963082075520 is a `hidden beast` number, since 7 + 9 + 6 + 3 + 0 + 82 + 0 + 7 + 552 + 0 = 666.

It is a super-2 number, since 2×7963082075520² (a number of 27 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 127 ways as a sum of consecutive naturals, for example, 1499918626 + ... + 1499923934.

It is an arithmetic number, because the mean of its divisors is an integer number (32415957000).

Almost surely, 2^{7963082075520} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7963082075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16596969984000).

7963082075520 is an abundant number, since it is smaller than the sum of its proper divisors (25230857892480).

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

7963082075520 is a wasteful number, since it uses less digits than its factorization.

7963082075520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5968 (or 5950 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 7963082075520 in words is "seven trillion, nine hundred sixty-three billion, eighty-two million, seventy-five thousand, five hundred twenty".