611397832320 has 2048 divisors, whose sum is σ = 2647130112000. Its totient is φ = 131681894400.

The previous prime is 611397832319. The next prime is 611397832337. The reversal of 611397832320 is 23238793116.

611397832320 is a `hidden beast` number, since 611 + 3 + 9 + 7 + 8 + 3 + 2 + 3 + 20 = 666.

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 255 ways as a sum of consecutive naturals, for example, 4814156097 + ... + 4814156223.

It is an arithmetic number, because the mean of its divisors is an integer number (1292544000).

Almost surely, 2^611397832320 is an apocalyptic number.

611397832320 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 611397832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323565056000).

611397832320 is an abundant number, since it is smaller than the sum of its proper divisors (2035732279680).

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

611397832320 is a wasteful number, since it uses less digits than its factorization.

611397832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 611397832320 in words is "six hundred eleven billion, three hundred ninety-seven million, eight hundred thirty-two thousand, three hundred twenty".