30722556480 has 448 divisors, whose sum is σ = 123176263680. Its totient is φ = 6301900800.

The previous prime is 30722556433. The next prime is 30722556499. The reversal of 30722556480 is 8465522703.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5837050 + ... + 5842310.

Almost surely, 2^30722556480 is an apocalyptic number.

30722556480 is a gapful number since it is divisible by the number (30) 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 30722556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61588131840).

30722556480 is an abundant number, since it is smaller than the sum of its proper divisors (92453707200).

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

30722556480 is a wasteful number, since it uses less digits than its factorization.

30722556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378 (or 5368 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

It can be divided in two parts, 3072 and 2556480, that added together give a palindrome (2559552).

The spelling of 30722556480 in words is "thirty billion, seven hundred twenty-two million, five hundred fifty-six thousand, four hundred eighty".