721434046694400 has 4224 divisors, whose sum is σ = 3042329611776000. Its totient is φ = 166259589120000.

The previous prime is 721434046694393. The next prime is 721434046694407. The reversal of 721434046694400 is 4496640434127.

721434046694400 is a `hidden beast` number, since 7 + 2 + 14 + 3 + 40 + 466 + 94 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (721434046694393) and next prime (721434046694407).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (721434046694407) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2067146265426 + ... + 2067146265774.

Almost surely, 2^{721434046694400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 721434046694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521164805888000).

721434046694400 is an abundant number, since it is smaller than the sum of its proper divisors (2320895565081600).

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

721434046694400 is a wasteful number, since it uses less digits than its factorization.

721434046694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 721434046694400 in words is "seven hundred twenty-one trillion, four hundred thirty-four billion, forty-six million, six hundred ninety-four thousand, four hundred".