46412280720 has 840 divisors, whose sum is σ = 186166484136. Its totient is φ = 10713710592.

The previous prime is 46412280713. The next prime is 46412280749. The reversal of 46412280720 is 2708221464.

46412280720 is a `hidden beast` number, since 4 + 641 + 2 + 2 + 8 + 0 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 27806229504 + 18606051216 = 166752^2 + 136404^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 167 ways as a sum of consecutive naturals, for example, 167553222 + ... + 167553498.

Almost surely, 2^46412280720 is an apocalyptic number.

46412280720 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 46412280720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93083242068).

46412280720 is an abundant number, since it is smaller than the sum of its proper divisors (139754203416).

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

46412280720 is a wasteful number, since it uses less digits than its factorization.

46412280720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 46412280720 in words is "forty-six billion, four hundred twelve million, two hundred eighty thousand, seven hundred twenty".