46107761280 has 512 divisors, whose sum is σ = 174757824000. Its totient is φ = 10332241920.

The previous prime is 46107761251. The next prime is 46107761281. The reversal of 46107761280 is 8216770164.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (46107761281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34903020 + ... + 34904340.

It is an arithmetic number, because the mean of its divisors is an integer number (341323875).

Almost surely, 2^46107761280 is an apocalyptic number.

46107761280 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 46107761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87378912000).

46107761280 is an abundant number, since it is smaller than the sum of its proper divisors (128650062720).

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

46107761280 is a wasteful number, since it uses less digits than its factorization.

46107761280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 46107761280 in words is "forty-six billion, one hundred seven million, seven hundred sixty-one thousand, two hundred eighty".