46827166296960 has 1600 divisors, whose sum is σ = 205366197445200. Its totient is φ = 10139505868800.

The previous prime is 46827166296949. The next prime is 46827166297061. The reversal of 46827166296960 is 6969266172864.

46827166296960 is a `hidden beast` number, since 4 + 6 + 8 + 271 + 6 + 6 + 296 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 2364879060 + ... + 2364898860.

Almost surely, 2^{46827166296960} is an apocalyptic number.

46827166296960 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 46827166296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102683098722600).

46827166296960 is an abundant number, since it is smaller than the sum of its proper divisors (158539031148240).

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

46827166296960 is an equidigital number, since it uses as much as digits as its factorization.

46827166296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19879 (or 19837 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 46827166296960 in words is "forty-six trillion, eight hundred twenty-seven billion, one hundred sixty-six million, two hundred ninety-six thousand, nine hundred sixty".