610962048000 has 704 divisors, whose sum is σ = 2391158016000. Its totient is φ = 153324748800.

The previous prime is 610962047977. The next prime is 610962048013. The reversal of 610962048000 is 840269016.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58746801 + ... + 58757199.

Almost surely, 2^610962048000 is an apocalyptic number.

610962048000 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 610962048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195579008000).

610962048000 is an abundant number, since it is smaller than the sum of its proper divisors (1780195968000).

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

610962048000 is a wasteful number, since it uses less digits than its factorization.

610962048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10460 (or 10426 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 610962048000 in words is "six hundred ten billion, nine hundred sixty-two million, forty-eight thousand".