607961088000 has 1728 divisors, whose sum is σ = 2721925140480. Its totient is φ = 127401984000.

The previous prime is 607961087999. The next prime is 607961088017. The reversal of 607961088000 is 880169706.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19611647985 + ... + 19611648015.

It is an arithmetic number, because the mean of its divisors is an integer number (1575188160).

Almost surely, 2^607961088000 is an apocalyptic number.

607961088000 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 607961088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360962570240).

607961088000 is an abundant number, since it is smaller than the sum of its proper divisors (2113964052480).

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

607961088000 is an equidigital number, since it uses as much as digits as its factorization.

607961088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 607961088000 in words is "six hundred seven billion, nine hundred sixty-one million, eighty-eight thousand".