46340478602880 has 2560 divisors, whose sum is σ = 199057040179200. Its totient is φ = 9078644736000.

The previous prime is 46340478602863. The next prime is 46340478602897. The reversal of 46340478602880 is 8820687404364.

It is an interprime number because it is at equal distance from previous prime (46340478602863) and next prime (46340478602897).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 64451291161 + ... + 64451291879.

It is an arithmetic number, because the mean of its divisors is an integer number (77756656320).

Almost surely, 2^{46340478602880} is an apocalyptic number.

46340478602880 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 46340478602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99528520089600).

46340478602880 is an abundant number, since it is smaller than the sum of its proper divisors (152716561576320).

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

46340478602880 is a wasteful number, since it uses less digits than its factorization.

46340478602880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 60.

The spelling of 46340478602880 in words is "forty-six trillion, three hundred forty billion, four hundred seventy-eight million, six hundred two thousand, eight hundred eighty".