46976993280 has 1344 divisors, whose sum is σ = 206246476800. Its totient is φ = 10032906240.

The previous prime is 46976993267. The next prime is 46976993291. The reversal of 46976993280 is 8239967964.

46976993280 is a `hidden beast` number, since 469 + 7 + 6 + 9 + 93 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1515386865 + ... + 1515386895.

It is an arithmetic number, because the mean of its divisors is an integer number (153457200).

Almost surely, 2^46976993280 is an apocalyptic number.

46976993280 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 46976993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103123238400).

46976993280 is an abundant number, since it is smaller than the sum of its proper divisors (159269483520).

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

46976993280 is an equidigital number, since it uses as much as digits as its factorization.

46976993280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 46976993280 in words is "forty-six billion, nine hundred seventy-six million, nine hundred ninety-three thousand, two hundred eighty".