7618466386944 has 792 divisors, whose sum is σ = 26502001344000. Its totient is φ = 2099571425280.

The previous prime is 7618466386943. The next prime is 7618466386963. The reversal of 7618466386944 is 4496836648167.

7618466386944 is a `hidden beast` number, since 7 + 6 + 184 + 66 + 386 + 9 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7618466386943) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5445650757 + ... + 5445652155.

Almost surely, 2^{7618466386944} 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 7618466386944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13251000672000).

7618466386944 is an abundant number, since it is smaller than the sum of its proper divisors (18883534957056).

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

7618466386944 is a wasteful number, since it uses less digits than its factorization.

7618466386944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1831 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 72.

The spelling of 7618466386944 in words is "seven trillion, six hundred eighteen billion, four hundred sixty-six million, three hundred eighty-six thousand, nine hundred forty-four".