46578742647360 has 1792 divisors, whose sum is σ = 199783613030400. Its totient is φ = 9083124449280.

The previous prime is 46578742647323. The next prime is 46578742647389. The reversal of 46578742647360 is 6374624787564.

It is a super-2 number, since 2×46578742647360² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26662130007 + ... + 26662131753.

It is an arithmetic number, because the mean of its divisors is an integer number (111486391200).

Almost surely, 2^{46578742647360} is an apocalyptic number.

46578742647360 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 46578742647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99891806515200).

46578742647360 is an abundant number, since it is smaller than the sum of its proper divisors (153204870383040).

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

46578742647360 is a wasteful number, since it uses less digits than its factorization.

46578742647360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 69.

The spelling of 46578742647360 in words is "forty-six trillion, five hundred seventy-eight billion, seven hundred forty-two million, six hundred forty-seven thousand, three hundred sixty".