46259864640 has 560 divisors, whose sum is σ = 181630563840. Its totient is φ = 11082424320.

The previous prime is 46259864639. The next prime is 46259864659. The reversal of 46259864640 is 4646895264.

46259864640 is a `hidden beast` number, since 4 + 6 + 2 + 598 + 6 + 4 + 6 + 40 = 666.

It is a super-2 number, since 2×46259864640² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25374769 + ... + 25376591.

Almost surely, 2^46259864640 is an apocalyptic number.

46259864640 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 46259864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90815281920).

46259864640 is an abundant number, since it is smaller than the sum of its proper divisors (135370699200).

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

46259864640 is a wasteful number, since it uses less digits than its factorization.

46259864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 46259864640 in words is "forty-six billion, two hundred fifty-nine million, eight hundred sixty-four thousand, six hundred forty".