46407584880 has 320 divisors, whose sum is σ = 166267453440. Its totient is φ = 11887948800.

The previous prime is 46407584869. The next prime is 46407584897. The reversal of 46407584880 is 8848570464.

It is a super-2 number, since 2×46407584880² (a number of 22 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5661585 + ... + 5669775.

It is an arithmetic number, because the mean of its divisors is an integer number (519585792).

Almost surely, 2^46407584880 is an apocalyptic number.

46407584880 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 46407584880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83133726720).

46407584880 is an abundant number, since it is smaller than the sum of its proper divisors (119859868560).

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

46407584880 is a wasteful number, since it uses less digits than its factorization.

46407584880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8317 (or 8305 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 46407584880 in words is "forty-six billion, four hundred seven million, five hundred eighty-four thousand, eight hundred eighty".