746754399360 has 384 divisors, whose sum is σ = 2617997382000. Its totient is φ = 196103503872.

The previous prime is 746754399359. The next prime is 746754399389. The reversal of 746754399360 is 63993457647.

746754399360 is a `hidden beast` number, since 7 + 46 + 75 + 439 + 93 + 6 + 0 = 666.

746754399360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 476994659904 + 269759739456 = 690648^2 + 519384^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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, 441082674 + ... + 441084366.

Almost surely, 2^746754399360 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 746754399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308998691000).

746754399360 is an abundant number, since it is smaller than the sum of its proper divisors (1871242982640).

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

746754399360 is a wasteful number, since it uses less digits than its factorization.

746754399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 746754399360 in words is "seven hundred forty-six billion, seven hundred fifty-four million, three hundred ninety-nine thousand, three hundred sixty".