746400612375 has 320 divisors, whose sum is σ = 1612620472320. Its totient is φ = 339479424000.

The previous prime is 746400612301. The next prime is 746400612449. The reversal of 746400612375 is 573216004647.

746400612375 is a `hidden beast` number, since 7 + 4 + 6 + 400 + 6 + 1 + 237 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (746400612301) and next prime (746400612449).

It is not a de Polignac number, because 746400612375 - 2¹⁷ = 746400481303 is a prime.

It is a super-2 number, since 2×746400612375² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 746400612375.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 906926214 + ... + 906927036.

It is an arithmetic number, because the mean of its divisors is an integer number (5039438976).

Almost surely, 2^746400612375 is an apocalyptic number.

746400612375 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

746400612375 is an abundant number, since it is smaller than the sum of its proper divisors (866219859945).

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

746400612375 is a wasteful number, since it uses less digits than its factorization.

746400612375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 746400612375 in words is "seven hundred forty-six billion, four hundred million, six hundred twelve thousand, three hundred seventy-five".