61802176812480 has 4032 divisors, whose sum is σ = 267115814304768. Its totient is φ = 13026215854080.

The previous prime is 61802176812407. The next prime is 61802176812487. The reversal of 61802176812480 is 8421867120816.

61802176812480 is a `hidden beast` number, since 6 + 1 + 80 + 2 + 1 + 7 + 6 + 81 + 2 + 480 = 666.

It is a super-2 number, since 2×61802176812480² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61802176812487) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 471772342015 + ... + 471772342145.

Almost surely, 2^{61802176812480} is an apocalyptic number.

61802176812480 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 61802176812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133557907152384).

61802176812480 is an abundant number, since it is smaller than the sum of its proper divisors (205313637492288).

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

61802176812480 is a wasteful number, since it uses less digits than its factorization.

61802176812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 61802176812480 in words is "sixty-one trillion, eight hundred two billion, one hundred seventy-six million, eight hundred twelve thousand, four hundred eighty".