1625300795664 has 240 divisors, whose sum is σ = 5621498506624. Its totient is φ = 426871296000.

The previous prime is 1625300795663. The next prime is 1625300795687. The reversal of 1625300795664 is 4665970035261.

1625300795664 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 3 + 0 + 0 + 79 + 566 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1625300795664.

It is not an unprimeable number, because it can be changed into a prime (1625300795663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2900739 + ... + 3415389.

Almost surely, 2^{1625300795664} is an apocalyptic number.

1625300795664 is a gapful number since it is divisible by the number (14) 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 1625300795664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810749253312).

1625300795664 is an abundant number, since it is smaller than the sum of its proper divisors (3996197710960).

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

1625300795664 is a wasteful number, since it uses less digits than its factorization.

1625300795664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514926 (or 514917 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 1625300795664 in words is "one trillion, six hundred twenty-five billion, three hundred million, seven hundred ninety-five thousand, six hundred sixty-four".