660961296000 has 640 divisors, whose sum is σ = 2466915010560. Its totient is φ = 175389235200.

The previous prime is 660961295993. The next prime is 660961296013. The reversal of 660961296000 is 692169066.

660961296000 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 tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 289006857 + ... + 289009143.

It is an arithmetic number, because the mean of its divisors is an integer number (3854554704).

Almost surely, 2^660961296000 is an apocalyptic number.

660961296000 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 660961296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233457505280).

660961296000 is an abundant number, since it is smaller than the sum of its proper divisors (1805953714560).

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

660961296000 is a wasteful number, since it uses less digits than its factorization.

660961296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 660961296000 in words is "six hundred sixty billion, nine hundred sixty-one million, two hundred ninety-six thousand".