61872065095680 has 1152 divisors, whose sum is σ = 258323476320000. Its totient is φ = 13379501555712.

The previous prime is 61872065095651. The next prime is 61872065095681. The reversal of 61872065095680 is 8659056027816.

61872065095680 is a `hidden beast` number, since 6 + 1 + 8 + 7 + 2 + 0 + 65 + 0 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (61872065095681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10161282076 + ... + 10161288164.

It is an arithmetic number, because the mean of its divisors is an integer number (224239128750).

Almost surely, 2^{61872065095680} is an apocalyptic number.

61872065095680 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 61872065095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129161738160000).

61872065095680 is an abundant number, since it is smaller than the sum of its proper divisors (196451411224320).

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

61872065095680 is a wasteful number, since it uses less digits than its factorization.

61872065095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6977 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 61872065095680 in words is "sixty-one trillion, eight hundred seventy-two billion, sixty-five million, ninety-five thousand, six hundred eighty".