61497816864 has 384 divisors, whose sum is σ = 186403037184. Its totient is φ = 17584128000.

The previous prime is 61497816797. The next prime is 61497816869. The reversal of 61497816864 is 46861879416.

Its product of digits (13934592) is a multiple of the sum of its prime divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 61497816798 and 61497816807.

It is not an unprimeable number, because it can be changed into a prime (61497816869) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 339766854 + ... + 339767034.

It is an arithmetic number, because the mean of its divisors is an integer number (485424576).

Almost surely, 2^61497816864 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 61497816864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93201518592).

61497816864 is an abundant number, since it is smaller than the sum of its proper divisors (124905220320).

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

61497816864 is a wasteful number, since it uses less digits than its factorization.

61497816864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 432 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 60.

The spelling of 61497816864 in words is "sixty-one billion, four hundred ninety-seven million, eight hundred sixteen thousand, eight hundred sixty-four".