46764424800 has 216 divisors, whose sum is σ = 166013593200. Its totient is φ = 12386534400.

The previous prime is 46764424787. The next prime is 46764424813. The reversal of 46764424800 is 842446764.

It is an interprime number because it is at equal distance from previous prime (46764424787) and next prime (46764424813).

It is a super-2 number, since 2×46764424800² (a number of 22 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1051005 + ... + 1094595.

It is an arithmetic number, because the mean of its divisors is an integer number (768581450).

Almost surely, 2^46764424800 is an apocalyptic number.

46764424800 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 46764424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83006796600).

46764424800 is an abundant number, since it is smaller than the sum of its proper divisors (119249168400).

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

46764424800 is a wasteful number, since it uses less digits than its factorization.

46764424800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43766 (or 43750 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 46764424800 in words is "forty-six billion, seven hundred sixty-four million, four hundred twenty-four thousand, eight hundred".