611162778240 has 768 divisors, whose sum is σ = 2546238240000. Its totient is φ = 134864658432.

The previous prime is 611162778139. The next prime is 611162778241. The reversal of 611162778240 is 42877261116.

611162778240 is a `hidden beast` number, since 6 + 1 + 11 + 627 + 7 + 8 + 2 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (611162778241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57289387 + ... + 57300053.

It is an arithmetic number, because the mean of its divisors is an integer number (3315414375).

Almost surely, 2^611162778240 is an apocalyptic number.

611162778240 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 611162778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273119120000).

611162778240 is an abundant number, since it is smaller than the sum of its proper divisors (1935075461760).

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

611162778240 is a wasteful number, since it uses less digits than its factorization.

611162778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10742 (or 10713 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 611162778240 in words is "six hundred eleven billion, one hundred sixty-two million, seven hundred seventy-eight thousand, two hundred forty".