61642517880384 has 1792 divisors, whose sum is σ = 235955579904000. Its totient is φ = 15550933008384.

The previous prime is 61642517880373. The next prime is 61642517880421. The reversal of 61642517880384 is 48308871524616.

61642517880384 is a `hidden beast` number, since 6 + 1 + 6 + 4 + 2 + 5 + 178 + 80 + 384 = 666.

It is a super-2 number, since 2×61642517880384² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 34494972739 + ... + 34494974525.

Almost surely, 2^{61642517880384} is an apocalyptic number.

61642517880384 is a gapful number since it is divisible by the number (64) 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 61642517880384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117977789952000).

61642517880384 is an abundant number, since it is smaller than the sum of its proper divisors (174313062023616).

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

61642517880384 is a wasteful number, since it uses less digits than its factorization.

61642517880384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 61642517880384 in words is "sixty-one trillion, six hundred forty-two billion, five hundred seventeen million, eight hundred eighty thousand, three hundred eighty-four".