7820615480832 has 1920 divisors, whose sum is σ = 30459800448000. Its totient is φ = 1977829539840.

The previous prime is 7820615480803. The next prime is 7820615480857. The reversal of 7820615480832 is 2380845160287.

7820615480832 is a `hidden beast` number, since 7 + 8 + 2 + 0 + 61 + 548 + 0 + 8 + 32 = 666.

It is a super-2 number, since 2×7820615480832² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24670711138 + ... + 24670711454.

It is an arithmetic number, because the mean of its divisors is an integer number (15864479400).

Almost surely, 2^{7820615480832} is an apocalyptic number.

7820615480832 is a gapful number since it is divisible by the number (72) 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 7820615480832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15229900224000).

7820615480832 is an abundant number, since it is smaller than the sum of its proper divisors (22639184967168).

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

7820615480832 is a wasteful number, since it uses less digits than its factorization.

7820615480832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 7820615480832 in words is "seven trillion, eight hundred twenty billion, six hundred fifteen million, four hundred eighty thousand, eight hundred thirty-two".