46705604400 has 1800 divisors, whose sum is σ = 219732019584. Its totient is φ = 9405849600.

The previous prime is 46705604389. The next prime is 46705604401. The reversal of 46705604400 is 440650764.

46705604400 is a `hidden beast` number, since 4 + 6 + 7 + 0 + 5 + 604 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46705604401) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 639802764 + ... + 639802836.

Almost surely, 2^46705604400 is an apocalyptic number.

46705604400 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 46705604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109866009792).

46705604400 is an abundant number, since it is smaller than the sum of its proper divisors (173026415184).

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

46705604400 is a wasteful number, since it uses less digits than its factorization.

46705604400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 46705604400 in words is "forty-six billion, seven hundred five million, six hundred four thousand, four hundred".