46860746400 has 576 divisors, whose sum is σ = 186809293440. Its totient is φ = 11263795200.

The previous prime is 46860746399. The next prime is 46860746417. The reversal of 46860746400 is 464706864.

46860746400 is a `hidden beast` number, since 468 + 60 + 74 + 64 + 0 + 0 = 666.

46860746400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46860746400² (a number of 22 digits) contains 22 as substring.

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

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, 12072460 + ... + 12076340.

It is an arithmetic number, because the mean of its divisors is an integer number (324321690).

Almost surely, 2^46860746400 is an apocalyptic number.

46860746400 is a gapful number since it is divisible by the number (40) 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 46860746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93404646720).

46860746400 is an abundant number, since it is smaller than the sum of its proper divisors (139948547040).

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

46860746400 is a wasteful number, since it uses less digits than its factorization.

46860746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 46860746400 in words is "forty-six billion, eight hundred sixty million, seven hundred forty-six thousand, four hundred".