46276116480 has 640 divisors, whose sum is σ = 181559212560. Its totient is φ = 11183063040.

The previous prime is 46276116479. The next prime is 46276116503. The reversal of 46276116480 is 8461167264.

46276116480 is a `hidden beast` number, since 4 + 6 + 27 + 611 + 6 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 145981282 + ... + 145981598.

Almost surely, 2^46276116480 is an apocalyptic number.

46276116480 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 46276116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90779606280).

46276116480 is an abundant number, since it is smaller than the sum of its proper divisors (135283096080).

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

46276116480 is an equidigital number, since it uses as much as digits as its factorization.

46276116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 46276116480 in words is "forty-six billion, two hundred seventy-six million, one hundred sixteen thousand, four hundred eighty".