46772056800 has 1296 divisors, whose sum is σ = 209107866240. Its totient is φ = 9976919040.

The previous prime is 46772056757. The next prime is 46772056813. The reversal of 46772056800 is 865027764.

46772056800 is a `hidden beast` number, since 4 + 67 + 7 + 20 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 698090367 + ... + 698090433.

Almost surely, 2^46772056800 is an apocalyptic number.

46772056800 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 46772056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104553933120).

46772056800 is an abundant number, since it is smaller than the sum of its proper divisors (162335809440).

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

46772056800 is an equidigital number, since it uses as much as digits as its factorization.

46772056800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 46772056800 in words is "forty-six billion, seven hundred seventy-two million, fifty-six thousand, eight hundred".