30721420800 has 1440 divisors, whose sum is σ = 139630563072. Its totient is φ = 6529351680.

The previous prime is 30721420787. The next prime is 30721420841. The reversal of 30721420800 is 802412703.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 370137559 + ... + 370137641.

Almost surely, 2^30721420800 is an apocalyptic number.

30721420800 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 30721420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69815281536).

30721420800 is an abundant number, since it is smaller than the sum of its proper divisors (108909142272).

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

30721420800 is an equidigital number, since it uses as much as digits as its factorization.

30721420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 30721420800 in words is "thirty billion, seven hundred twenty-one million, four hundred twenty thousand, eight hundred".