345672630488640 has 1344 divisors, whose sum is σ = 1435217245717248. Its totient is φ = 69798371328000.

The previous prime is 345672630488623. The next prime is 345672630488789. The reversal of 345672630488640 is 46884036276543.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1380075415 + ... + 1380325865.

It is an arithmetic number, because the mean of its divisors is an integer number (1067869974492).

Almost surely, 2^{345672630488640} is an apocalyptic number.

345672630488640 is a gapful number since it is divisible by the number (30) 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 345672630488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717608622858624).

345672630488640 is an abundant number, since it is smaller than the sum of its proper divisors (1089544615228608).

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

345672630488640 is a wasteful number, since it uses less digits than its factorization.

345672630488640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250596 (or 250579 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 66.

The spelling of 345672630488640 in words is "three hundred forty-five trillion, six hundred seventy-two billion, six hundred thirty million, four hundred eighty-eight thousand, six hundred forty".