46792468800 has 1176 divisors, whose sum is σ = 215639001792. Its totient is φ = 9704448000.

The previous prime is 46792468799. The next prime is 46792468813. The reversal of 46792468800 is 886429764.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 89812540 + ... + 89813060.

Almost surely, 2^46792468800 is an apocalyptic number.

46792468800 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 46792468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107819500896).

46792468800 is an abundant number, since it is smaller than the sum of its proper divisors (168846532992).

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

46792468800 is a wasteful number, since it uses less digits than its factorization.

46792468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 46792468800 in words is "forty-six billion, seven hundred ninety-two million, four hundred sixty-eight thousand, eight hundred".