642474060345 has 96 divisors (see below), whose sum is σ = 1290649205664. Its totient is φ = 292808908800.

The previous prime is 642474060287. The next prime is 642474060383. The reversal of 642474060345 is 543060474246.

642474060345 is a `hidden beast` number, since 6 + 4 + 247 + 4 + 0 + 60 + 345 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 264824481321 + 377649579024 = 514611^2 + 614532^2 .

It is not a de Polignac number, because 642474060345 - 2⁶ = 642474060281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 642474060345.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77115 + ... + 1136175.

It is an arithmetic number, because the mean of its divisors is an integer number (13444262559).

Almost surely, 2^642474060345 is an apocalyptic number.

642474060345 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

642474060345 is an abundant number, since it is smaller than the sum of its proper divisors (648175145319).

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

642474060345 is a wasteful number, since it uses less digits than its factorization.

642474060345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059163 (or 1059160 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 642474060345 in words is "six hundred forty-two billion, four hundred seventy-four million, sixty thousand, three hundred forty-five".