61679427264 has 448 divisors, whose sum is σ = 230387834880. Its totient is φ = 15741112320.

The previous prime is 61679427259. The next prime is 61679427269. The reversal of 61679427264 is 46272497616.

It is an interprime number because it is at equal distance from previous prime (61679427259) and next prime (61679427269).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 61679427264.

It is not an unprimeable number, because it can be changed into a prime (61679427269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4868362 + ... + 4881014.

It is an arithmetic number, because the mean of its divisors is an integer number (514258560).

Almost surely, 2^61679427264 is an apocalyptic number.

61679427264 is a gapful number since it is divisible by the number (64) 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 61679427264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115193917440).

61679427264 is an abundant number, since it is smaller than the sum of its proper divisors (168708407616).

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

61679427264 is a wasteful number, since it uses less digits than its factorization.

61679427264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12725 (or 12709 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 61679427264 in words is "sixty-one billion, six hundred seventy-nine million, four hundred twenty-seven thousand, two hundred sixty-four".