745514918400 has 480 divisors, whose sum is σ = 2823896009088. Its totient is φ = 169839820800.

The previous prime is 745514918389. The next prime is 745514918411. The reversal of 745514918400 is 4819415547.

It is an interprime number because it is at equal distance from previous prime (745514918389) and next prime (745514918411).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 745514918400.

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, 84129970 + ... + 84138830.

Almost surely, 2^745514918400 is an apocalyptic number.

745514918400 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 745514918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411948004544).

745514918400 is an abundant number, since it is smaller than the sum of its proper divisors (2078381090688).

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

745514918400 is a wasteful number, since it uses less digits than its factorization.

745514918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9212 (or 9191 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 745514918400 in words is "seven hundred forty-five billion, five hundred fourteen million, nine hundred eighteen thousand, four hundred".