46736621568 has 840 divisors, whose sum is σ = 176493023168. Its totient is φ = 12039487488.

The previous prime is 46736621557. The next prime is 46736621587. The reversal of 46736621568 is 86512663764.

46736621568 is a `hidden beast` number, since 4 + 6 + 7 + 3 + 6 + 621 + 5 + 6 + 8 = 666.

It is a super-6 number, since 6×46736621568⁶ (a number of 65 digits) contains 666666 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 (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1086898155 + ... + 1086898197.

Almost surely, 2^46736621568 is an apocalyptic number.

46736621568 is a gapful number since it is divisible by the number (48) 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 46736621568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88246511584).

46736621568 is an abundant number, since it is smaller than the sum of its proper divisors (129756401600).

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

46736621568 is an frugal number, since it uses more digits than its factorization.

46736621568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 68 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 46736621568 in words is "forty-six billion, seven hundred thirty-six million, six hundred twenty-one thousand, five hundred sixty-eight".