721400359680 has 2592 divisors, whose sum is σ = 3548099213568. Its totient is φ = 137952460800.

The previous prime is 721400359651. The next prime is 721400359721. The reversal of 721400359680 is 86953004127.

721400359680 is a `hidden beast` number, since 7 + 214 + 0 + 0 + 359 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2179457115 + ... + 2179457445.

It is a 1-persistent number, because it is pandigital, but 2⋅721400359680 = 1442800719360 is not.

Almost surely, 2^721400359680 is an apocalyptic number.

721400359680 is a gapful number since it is divisible by the number (70) 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 721400359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774049606784).

721400359680 is an abundant number, since it is smaller than the sum of its proper divisors (2826698853888).

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

721400359680 is a wasteful number, since it uses less digits than its factorization.

721400359680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 721400359680 in words is "seven hundred twenty-one billion, four hundred million, three hundred fifty-nine thousand, six hundred eighty".