6720462720 has 384 divisors, whose sum is σ = 24387367680. Its totient is φ = 1703116800.

The previous prime is 6720462719. The next prime is 6720462761. The reversal of 6720462720 is 272640276.

6720462720 is a `hidden beast` number, since 6 + 7 + 2 + 0 + 4 + 627 + 20 = 666.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10891852 + ... + 10892468.

It is an arithmetic number, because the mean of its divisors is an integer number (63508770).

Almost surely, 2^6720462720 is an apocalyptic number.

6720462720 is a gapful number since it is divisible by the number (60) 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 6720462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12193683840).

6720462720 is an abundant number, since it is smaller than the sum of its proper divisors (17666904960).

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

6720462720 is a wasteful number, since it uses less digits than its factorization.

6720462720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 6720462720 is about 81978.4283821055. The cubic root of 6720462720 is about 1887.1209040563.

The spelling of 6720462720 in words is "six billion, seven hundred twenty million, four hundred sixty-two thousand, seven hundred twenty".