61477884468 has 480 divisors, whose sum is σ = 217583106048. Its totient is φ = 14617324800.

The previous prime is 61477884443. The next prime is 61477884469. The reversal of 61477884468 is 86448877416.

61477884468 is a `hidden beast` number, since 61 + 47 + 78 + 8 + 4 + 468 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61477884469) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 42485721 + ... + 42487167.

Almost surely, 2^61477884468 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 61477884468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108791553024).

61477884468 is an abundant number, since it is smaller than the sum of its proper divisors (156105221580).

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

61477884468 is a wasteful number, since it uses less digits than its factorization.

61477884468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1614 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 63.

The spelling of 61477884468 in words is "sixty-one billion, four hundred seventy-seven million, eight hundred eighty-four thousand, four hundred sixty-eight".