61076695680 has 1920 divisors, whose sum is σ = 297831219840. Its totient is φ = 11605524480.

The previous prime is 61076695663. The next prime is 61076695681. The reversal of 61076695680 is 8659667016.

61076695680 is a `hidden beast` number, since 6 + 1 + 0 + 76 + 6 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61076695681) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 570810187 + ... + 570810293.

It is an arithmetic number, because the mean of its divisors is an integer number (155120427).

Almost surely, 2^61076695680 is an apocalyptic number.

61076695680 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 61076695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148915609920).

61076695680 is an abundant number, since it is smaller than the sum of its proper divisors (236754524160).

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

61076695680 is a wasteful number, since it uses less digits than its factorization.

61076695680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 61076695680 in words is "sixty-one billion, seventy-six million, six hundred ninety-five thousand, six hundred eighty".