664095901392 has 960 divisors, whose sum is σ = 2501386567680. Its totient is φ = 165526156800.

The previous prime is 664095901387. The next prime is 664095901463. The reversal of 664095901392 is 293109590466.

664095901392 is a `hidden beast` number, since 6 + 6 + 40 + 9 + 590 + 1 + 3 + 9 + 2 = 666.

664095901392 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1512746709 + ... + 1512747147.

It is an arithmetic number, because the mean of its divisors is an integer number (2605611008).

Almost surely, 2^664095901392 is an apocalyptic number.

664095901392 is a gapful number since it is divisible by the number (62) 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 664095901392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250693283840).

664095901392 is an abundant number, since it is smaller than the sum of its proper divisors (1837290666288).

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

664095901392 is a wasteful number, since it uses less digits than its factorization.

664095901392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 664095901392 in words is "six hundred sixty-four billion, ninety-five million, nine hundred one thousand, three hundred ninety-two".