659902464000 has 1792 divisors, whose sum is σ = 2815908928560. Its totient is φ = 152882380800.

The previous prime is 659902463993. The next prime is 659902464007. The reversal of 659902464000 is 464209956.

It is an interprime number because it is at equal distance from previous prime (659902463993) and next prime (659902464007).

It can be written as a sum of positive squares in 8 ways, for example, as 11478122496 + 648424341504 = 107136^2 + 805248^2 .

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

It is not an unprimeable number, because it can be changed into a prime (659902464007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 38817791992 + ... + 38817792008.

Almost surely, 2^659902464000 is an apocalyptic number.

659902464000 is a gapful number since it is divisible by the number (60) 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 659902464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407954464280).

659902464000 is an abundant number, since it is smaller than the sum of its proper divisors (2156006464560).

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

659902464000 is an frugal number, since it uses more digits than its factorization.

659902464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 659902464000 in words is "six hundred fifty-nine billion, nine hundred two million, four hundred sixty-four thousand".