46276780032 has 560 divisors, whose sum is σ = 162520408512. Its totient is φ = 12899450880.

The previous prime is 46276780031. The next prime is 46276780037. The reversal of 46276780032 is 23008767264.

It is a super-2 number, since 2×46276780032² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46276780032.

It is not an unprimeable number, because it can be changed into a prime (46276780031) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1128701932 + ... + 1128701972.

Almost surely, 2^46276780032 is an apocalyptic number.

46276780032 is a gapful number since it is divisible by the number (42) 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 46276780032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81260204256).

46276780032 is an abundant number, since it is smaller than the sum of its proper divisors (116243628480).

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

46276780032 is an frugal number, since it uses more digits than its factorization.

46276780032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 46276780032 in words is "forty-six billion, two hundred seventy-six million, seven hundred eighty thousand, thirty-two".