61300738372608 has 1232 divisors, whose sum is σ = 226880158780800. Its totient is φ = 16483061661696.

The previous prime is 61300738372483. The next prime is 61300738372651. The reversal of 61300738372608 is 80627383700316.

61300738372608 is a `hidden beast` number, since 6 + 1 + 300 + 73 + 8 + 3 + 7 + 260 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4352811135 + ... + 4352825217.

Almost surely, 2^{61300738372608} is an apocalyptic number.

61300738372608 is a gapful number since it is divisible by the number (68) 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 61300738372608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113440079390400).

61300738372608 is an abundant number, since it is smaller than the sum of its proper divisors (165579420408192).

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

61300738372608 is an equidigital number, since it uses as much as digits as its factorization.

61300738372608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14159 (or 14112 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 61300738372608 in words is "sixty-one trillion, three hundred billion, seven hundred thirty-eight million, three hundred seventy-two thousand, six hundred eight".