61618808277576 has 192 divisors, whose sum is σ = 191870900020800. Its totient is φ = 17668060070400.

The previous prime is 61618808277461. The next prime is 61618808277581. The reversal of 61618808277576 is 67577280881616.

It is a happy number.

61618808277576 is a `hidden beast` number, since 6 + 16 + 18 + 8 + 0 + 8 + 27 + 7 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9860610 + ... + 14848206.

It is an arithmetic number, because the mean of its divisors is an integer number (999327604275).

Almost surely, 2^{61618808277576} is an apocalyptic number.

61618808277576 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 61618808277576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95935450010400).

61618808277576 is an abundant number, since it is smaller than the sum of its proper divisors (130252091743224).

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

61618808277576 is a wasteful number, since it uses less digits than its factorization.

61618808277576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988460 (or 4988453 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 72.

The spelling of 61618808277576 in words is "sixty-one trillion, six hundred eighteen billion, eight hundred eight million, two hundred seventy-seven thousand, five hundred seventy-six".