61532632377216 has 768 divisors, whose sum is σ = 238154318438400. Its totient is φ = 14727350845440.

The previous prime is 61532632377193. The next prime is 61532632377221. The reversal of 61532632377216 is 61277323623516.

61532632377216 is a `hidden beast` number, since 6 + 1 + 5 + 3 + 26 + 32 + 377 + 216 = 666.

It is a super-2 number, since 2×61532632377216² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 665322465 + ... + 665414943.

It is an arithmetic number, because the mean of its divisors is an integer number (310096768800).

Almost surely, 2^{61532632377216} is an apocalyptic number.

61532632377216 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 61532632377216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119077159219200).

61532632377216 is an abundant number, since it is smaller than the sum of its proper divisors (176621686061184).

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

61532632377216 is a wasteful number, since it uses less digits than its factorization.

61532632377216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93107 (or 93092 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The spelling of 61532632377216 in words is "sixty-one trillion, five hundred thirty-two billion, six hundred thirty-two million, three hundred seventy-seven thousand, two hundred sixteen".