30661622400 has 384 divisors, whose sum is σ = 107464996800. Its totient is φ = 7661813760.

The previous prime is 30661622359. The next prime is 30661622401. The reversal of 30661622400 is 422616603.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (30661622401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17691934 + ... + 17693666.

Almost surely, 2^30661622400 is an apocalyptic number.

30661622400 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 30661622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53732498400).

30661622400 is an abundant number, since it is smaller than the sum of its proper divisors (76803374400).

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

30661622400 is a wasteful number, since it uses less digits than its factorization.

30661622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 30661622400 in words is "thirty billion, six hundred sixty-one million, six hundred twenty-two thousand, four hundred".