7617481988256 has 384 divisors, whose sum is σ = 26145849945600. Its totient is φ = 2112324894720.

The previous prime is 7617481988227. The next prime is 7617481988261. The reversal of 7617481988256 is 6528891847167.

It is a happy number.

7617481988256 is a `hidden beast` number, since 7 + 6 + 1 + 7 + 481 + 98 + 8 + 2 + 56 = 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 63 ways as a sum of consecutive naturals, for example, 47778240 + ... + 47937408.

It is an arithmetic number, because the mean of its divisors is an integer number (68088150900).

Almost surely, 2^{7617481988256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7617481988256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13072924972800).

7617481988256 is an abundant number, since it is smaller than the sum of its proper divisors (18528367957344).

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

7617481988256 is a wasteful number, since it uses less digits than its factorization.

7617481988256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159429 (or 159415 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 72.

The spelling of 7617481988256 in words is "seven trillion, six hundred seventeen billion, four hundred eighty-one million, nine hundred eighty-eight thousand, two hundred fifty-six".