61007608490274 has 192 divisors, whose sum is σ = 145073242828800. Its totient is φ = 18456859324800.

The previous prime is 61007608490267. The next prime is 61007608490281. The reversal of 61007608490274 is 47209480670016.

61007608490274 is a `hidden beast` number, since 6 + 1 + 0 + 0 + 7 + 608 + 4 + 9 + 0 + 27 + 4 = 666.

61007608490274 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61007608490267) and next prime (61007608490281).

It is a self number, because there is not a number n which added to its sum of digits gives 61007608490274.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1353206137 + ... + 1353251219.

It is an arithmetic number, because the mean of its divisors is an integer number (755589806400).

Almost surely, 2^{61007608490274} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61007608490274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72536621414400).

61007608490274 is an abundant number, since it is smaller than the sum of its proper divisors (84065634338526).

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

61007608490274 is a wasteful number, since it uses less digits than its factorization.

61007608490274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46421 (or 46418 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 61007608490274 in words is "sixty-one trillion, seven billion, six hundred eight million, four hundred ninety thousand, two hundred seventy-four".