61809997810176 has 960 divisors, whose sum is σ = 236991856907520. Its totient is φ = 15013686804480.

The previous prime is 61809997810097. The next prime is 61809997810313. The reversal of 61809997810176 is 67101879990816.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 946971270 + ... + 947036538.

It is an arithmetic number, because the mean of its divisors is an integer number (246866517612).

Almost surely, 2^{61809997810176} is an apocalyptic number.

61809997810176 is a gapful number since it is divisible by the number (66) 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 61809997810176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118495928453760).

61809997810176 is an abundant number, since it is smaller than the sum of its proper divisors (175181859097344).

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

61809997810176 is a wasteful number, since it uses less digits than its factorization.

61809997810176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65485 (or 65466 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 72.

The spelling of 61809997810176 in words is "sixty-one trillion, eight hundred nine billion, nine hundred ninety-seven million, eight hundred ten thousand, one hundred seventy-six".