46770890400 has 1008 divisors, whose sum is σ = 191262758400. Its totient is φ = 11085465600.

The previous prime is 46770890393. The next prime is 46770890429. The reversal of 46770890400 is 409807764.

46770890400 is a `hidden beast` number, since 467 + 70 + 89 + 0 + 40 + 0 = 666.

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 167 ways as a sum of consecutive naturals, for example, 235029501 + ... + 235029699.

It is an arithmetic number, because the mean of its divisors is an integer number (189744800).

Almost surely, 2^46770890400 is an apocalyptic number.

46770890400 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 46770890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95631379200).

46770890400 is an abundant number, since it is smaller than the sum of its proper divisors (144491868000).

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

46770890400 is a wasteful number, since it uses less digits than its factorization.

46770890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 46770890400 in words is "forty-six billion, seven hundred seventy million, eight hundred ninety thousand, four hundred".