61960965696 has 1008 divisors, whose sum is σ = 233151974640. Its totient is φ = 15606743040.

The previous prime is 61960965691. The next prime is 61960965709. The reversal of 61960965696 is 69656906916.

61960965696 is a `hidden beast` number, since 6 + 1 + 9 + 60 + 9 + 6 + 569 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 722534400 + 61238431296 = 26880^2 + 247464^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×61960965696² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (61960965691) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 848780316 + ... + 848780388.

Almost surely, 2^61960965696 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 61960965696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116575987320).

61960965696 is an abundant number, since it is smaller than the sum of its proper divisors (171191008944).

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

61960965696 is a wasteful number, since it uses less digits than its factorization.

61960965696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 63.

The spelling of 61960965696 in words is "sixty-one billion, nine hundred sixty million, nine hundred sixty-five thousand, six hundred ninety-six".