46794101760 has 792 divisors, whose sum is σ = 193387459200. Its totient is φ = 10642046976.

The previous prime is 46794101741. The next prime is 46794101779. The reversal of 46794101760 is 6710149764.

46794101760 is a `hidden beast` number, since 4 + 67 + 9 + 410 + 176 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46794101741) and next prime (46794101779).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 235146141 + ... + 235146339.

Almost surely, 2^46794101760 is an apocalyptic number.

46794101760 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 46794101760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96693729600).

46794101760 is an abundant number, since it is smaller than the sum of its proper divisors (146593357440).

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

46794101760 is an frugal number, since it uses more digits than its factorization.

46794101760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 46794101760 in words is "forty-six billion, seven hundred ninety-four million, one hundred one thousand, seven hundred sixty".