1642947590160 has 720 divisors, whose sum is σ = 5985999871488. Its totient is φ = 403375104000.

The previous prime is 1642947590153. The next prime is 1642947590227. The reversal of 1642947590160 is 610957492461.

1642947590160 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 9 + 47 + 590 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 1642947590097 and 1642947590106.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4097125960 + ... + 4097126360.

Almost surely, 2^{1642947590160} is an apocalyptic number.

1642947590160 is a gapful number since it is divisible by the number (10) 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 1642947590160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992999935744).

1642947590160 is an abundant number, since it is smaller than the sum of its proper divisors (4343052281328).

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

1642947590160 is a wasteful number, since it uses less digits than its factorization.

1642947590160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1642947590160 in words is "one trillion, six hundred forty-two billion, nine hundred forty-seven million, five hundred ninety thousand, one hundred sixty".