46972732800 has 576 divisors, whose sum is σ = 183038441040. Its totient is φ = 10554163200.

The previous prime is 46972732787. The next prime is 46972732801. The reversal of 46972732800 is 823727964.

It is a super-3 number, since 3×46972732800³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 46972732800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46972732801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28693582 + ... + 28695218.

Almost surely, 2^46972732800 is an apocalyptic number.

46972732800 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 46972732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91519220520).

46972732800 is an abundant number, since it is smaller than the sum of its proper divisors (136065708240).

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

46972732800 is a wasteful number, since it uses less digits than its factorization.

46972732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 46972732800 in words is "forty-six billion, nine hundred seventy-two million, seven hundred thirty-two thousand, eight hundred".