61696414440 has 96 divisors (see below), whose sum is σ = 200880557280. Its totient is φ = 16422247296.

The previous prime is 61696414363. The next prime is 61696414463. The reversal of 61696414440 is 4441469616.

61696414440 is a `hidden beast` number, since 6 + 169 + 6 + 41 + 4 + 440 = 666.

61696414440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40267 + ... + 353573.

It is an arithmetic number, because the mean of its divisors is an integer number (2092505805).

Almost surely, 2^61696414440 is an apocalyptic number.

61696414440 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 61696414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100440278640).

61696414440 is an abundant number, since it is smaller than the sum of its proper divisors (139184142840).

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

61696414440 is a wasteful number, since it uses less digits than its factorization.

61696414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313871 (or 313864 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 61696414440 in words is "sixty-one billion, six hundred ninety-six million, four hundred fourteen thousand, four hundred forty".