46204804800 has 756 divisors, whose sum is σ = 208436465016. Its totient is φ = 9599385600.

The previous prime is 46204804783. The next prime is 46204804853. The reversal of 46204804800 is 840840264.

It is a super-2 number, since 2×46204804800² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7758624 + ... + 7764576.

Almost surely, 2^46204804800 is an apocalyptic number.

46204804800 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 46204804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104218232508).

46204804800 is an abundant number, since it is smaller than the sum of its proper divisors (162231660216).

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

46204804800 is a wasteful number, since it uses less digits than its factorization.

46204804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6006 (or 5981 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 46204804800 in words is "forty-six billion, two hundred four million, eight hundred four thousand, eight hundred".