611364765240 has 192 divisors, whose sum is σ = 2054024294400. Its totient is φ = 157541241600.

The previous prime is 611364765239. The next prime is 611364765247. The reversal of 611364765240 is 42567463116.

611364765240 is a `hidden beast` number, since 6 + 1 + 136 + 476 + 5 + 2 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (611364765247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7671921 + ... + 7751199.

It is an arithmetic number, because the mean of its divisors is an integer number (10698043200).

Almost surely, 2^611364765240 is an apocalyptic number.

611364765240 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 611364765240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027012147200).

611364765240 is an abundant number, since it is smaller than the sum of its proper divisors (1442659529160).

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

611364765240 is a wasteful number, since it uses less digits than its factorization.

611364765240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80018 (or 80011 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 611364765240 in words is "six hundred eleven billion, three hundred sixty-four million, seven hundred sixty-five thousand, two hundred forty".