61642377073200 has 480 divisors, whose sum is σ = 246205727539200. Its totient is φ = 12807739929600.

The previous prime is 61642377073187. The next prime is 61642377073213. The reversal of 61642377073200 is 237077324616.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61642377073187) and next prime (61642377073213).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 61642377073200.

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, 1626128647 + ... + 1626166553.

It is an arithmetic number, because the mean of its divisors is an integer number (512928599040).

Almost surely, 2^{61642377073200} is an apocalyptic number.

61642377073200 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 61642377073200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123102863769600).

61642377073200 is an abundant number, since it is smaller than the sum of its proper divisors (184563350466000).

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

61642377073200 is a wasteful number, since it uses less digits than its factorization.

61642377073200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55545 (or 55534 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 48.

The spelling of 61642377073200 in words is "sixty-one trillion, six hundred forty-two billion, three hundred seventy-seven million, seventy-three thousand, two hundred".