1492625664 has 288 divisors, whose sum is σ = 4738809600. Its totient is φ = 462274560.

The previous prime is 1492625657. The next prime is 1492625741. The reversal of 1492625664 is 4665262941.

1492625664 is a `hidden beast` number, since 14 + 9 + 2 + 625 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6517902 + ... + 6518130.

It is an arithmetic number, because the mean of its divisors is an integer number (16454200).

Almost surely, 2^1492625664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1492625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369404800).

1492625664 is an abundant number, since it is smaller than the sum of its proper divisors (3246183936).

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

1492625664 is a wasteful number, since it uses less digits than its factorization.

1492625664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 298 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 1492625664 is about 38634.5138962560. The cubic root of 1492625664 is about 1142.8352694861.

The spelling of 1492625664 in words is "one billion, four hundred ninety-two million, six hundred twenty-five thousand, six hundred sixty-four".