731434457376 has 576 divisors, whose sum is σ = 2561960741760. Its totient is φ = 202278021120.

The previous prime is 731434457309. The next prime is 731434457417. The reversal of 731434457376 is 673754434137.

731434457376 is a `hidden beast` number, since 7 + 31 + 4 + 34 + 4 + 573 + 7 + 6 = 666.

It is a super-4 number, since 4×731434457376⁴ (a number of 49 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 330516046 + ... + 330518258.

It is an arithmetic number, because the mean of its divisors is an integer number (4447848510).

Almost surely, 2^731434457376 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 731434457376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280980370880).

731434457376 is an abundant number, since it is smaller than the sum of its proper divisors (1830526284384).

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

731434457376 is a wasteful number, since it uses less digits than its factorization.

731434457376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2473 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 54.

The spelling of 731434457376 in words is "seven hundred thirty-one billion, four hundred thirty-four million, four hundred fifty-seven thousand, three hundred seventy-six".