46271312640 has 576 divisors, whose sum is σ = 198712120320. Its totient is φ = 9953280000.

The previous prime is 46271312627. The next prime is 46271312653. The reversal of 46271312640 is 4621317264.

46271312640 is a `hidden beast` number, since 4 + 6 + 2 + 7 + 1 + 3 + 1 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (46271312627) and next prime (46271312653).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 46271312595 and 46271312604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4107015 + ... + 4118265.

It is an arithmetic number, because the mean of its divisors is an integer number (344986320).

Almost surely, 2^46271312640 is an apocalyptic number.

46271312640 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 46271312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99356060160).

46271312640 is an abundant number, since it is smaller than the sum of its proper divisors (152440807680).

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

46271312640 is a wasteful number, since it uses less digits than its factorization.

46271312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11305 (or 11285 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 46271312640 in words is "forty-six billion, two hundred seventy-one million, three hundred twelve thousand, six hundred forty".