46277038080 has 1248 divisors, whose sum is σ = 206082938880. Its totient is φ = 9342812160.

The previous prime is 46277038079. The next prime is 46277038141. The reversal of 46277038080 is 8083077264.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 519966676 + ... + 519966764.

It is an arithmetic number, because the mean of its divisors is an integer number (165130560).

Almost surely, 2^46277038080 is an apocalyptic number.

46277038080 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 46277038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103041469440).

46277038080 is an abundant number, since it is smaller than the sum of its proper divisors (159805900800).

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

46277038080 is a wasteful number, since it uses less digits than its factorization.

46277038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 46277038080 in words is "forty-six billion, two hundred seventy-seven million, thirty-eight thousand, eighty".