720479424672 has 672 divisors, whose sum is σ = 2503162368000. Its totient is φ = 203942333952.

The previous prime is 720479424647. The next prime is 720479424757. The reversal of 720479424672 is 276424974027.

720479424672 is a `hidden beast` number, since 7 + 20 + 479 + 42 + 46 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×720479424672² (a number of 25 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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1016190654 + ... + 1016191362.

It is an arithmetic number, because the mean of its divisors is an integer number (3724944000).

Almost surely, 2^720479424672 is an apocalyptic number.

720479424672 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 720479424672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251581184000).

720479424672 is an abundant number, since it is smaller than the sum of its proper divisors (1782682943328).

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

720479424672 is an equidigital number, since it uses as much as digits as its factorization.

720479424672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 720479424672 in words is "seven hundred twenty billion, four hundred seventy-nine million, four hundred twenty-four thousand, six hundred seventy-two".