46761294038670 has 144 divisors (see below), whose sum is σ = 125226679571280. Its totient is φ = 12416912524800.

The previous prime is 46761294038659. The next prime is 46761294038707. The reversal of 46761294038670 is 7683049216764.

It is a happy number.

46761294038670 is a `hidden beast` number, since 4 + 6 + 7 + 61 + 29 + 403 + 86 + 70 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46761294038598 and 46761294038607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31574134330 + ... + 31574135810.

It is an arithmetic number, because the mean of its divisors is an integer number (869629719245).

Almost surely, 2^{46761294038670} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46761294038670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62613339785640).

46761294038670 is an abundant number, since it is smaller than the sum of its proper divisors (78465385532610).

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

46761294038670 is an frugal number, since it uses more digits than its factorization.

46761294038670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 46761294038670 in words is "forty-six trillion, seven hundred sixty-one billion, two hundred ninety-four million, thirty-eight thousand, six hundred seventy".