745682363102400 has 336 divisors, whose sum is σ = 2588782701731328. Its totient is φ = 187524119552000.

The previous prime is 745682363102323. The next prime is 745682363102519. The reversal of 745682363102400 is 4201363286547.

It is a super-3 number, since 3×745682363102400³ (a number of 46 digits) contains 333 as substring.

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, 39727581 + ... + 55404380.

Almost surely, 2^{745682363102400} is an apocalyptic number.

It is an amenable number.

745682363102400 is an abundant number, since it is smaller than the sum of its proper divisors (1843100338628928).

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

745682363102400 is a wasteful number, since it uses less digits than its factorization.

745682363102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95132080 (or 95132065 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 745682363102400 in words is "seven hundred forty-five trillion, six hundred eighty-two billion, three hundred sixty-three million, one hundred two thousand, four hundred".