61797850348536 has 336 divisors, whose sum is σ = 181962044883360. Its totient is φ = 19665331994880.

The previous prime is 61797850348453. The next prime is 61797850348573. The reversal of 61797850348536 is 63584305879716.

It is a happy number.

61797850348536 is a `hidden beast` number, since 6 + 1 + 7 + 9 + 7 + 8 + 50 + 34 + 8 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1607332465 + ... + 1607370911.

It is an arithmetic number, because the mean of its divisors is an integer number (541553705010).

Almost surely, 2^{61797850348536} 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 61797850348536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90981022441680).

61797850348536 is an abundant number, since it is smaller than the sum of its proper divisors (120164194534824).

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

61797850348536 is a wasteful number, since it uses less digits than its factorization.

61797850348536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39038 (or 38996 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 61797850348536 in words is "sixty-one trillion, seven hundred ninety-seven billion, eight hundred fifty million, three hundred forty-eight thousand, five hundred thirty-six".