61813274688 has 392 divisors, whose sum is σ = 205364766816. Its totient is φ = 18289152000.

The previous prime is 61813274687. The next prime is 61813274689. The reversal of 61813274688 is 88647231816.

61813274688 is a `hidden beast` number, since 618 + 13 + 2 + 7 + 4 + 6 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (61813274687) and next prime (61813274689).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (61813274683) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22066888 + ... + 22069688.

Almost surely, 2^61813274688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61813274688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102682383408).

61813274688 is an abundant number, since it is smaller than the sum of its proper divisors (143551492128).

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

61813274688 is a wasteful number, since it uses less digits than its factorization.

61813274688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2860 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 61813274688 in words is "sixty-one billion, eight hundred thirteen million, two hundred seventy-four thousand, six hundred eighty-eight".