7474706853768 has 1440 divisors, whose sum is σ = 27961095697920. Its totient is φ = 1856610201600.

The previous prime is 7474706853743. The next prime is 7474706853781. The reversal of 7474706853768 is 8673586074747.

7474706853768 is a `hidden beast` number, since 7 + 4 + 7 + 470 + 6 + 85 + 3 + 76 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7474706853696 and 7474706853705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 11552869621 + ... + 11552870267.

It is an arithmetic number, because the mean of its divisors is an integer number (19417427568).

Almost surely, 2^{7474706853768} 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 7474706853768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13980547848960).

7474706853768 is an abundant number, since it is smaller than the sum of its proper divisors (20486388844152).

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

7474706853768 is a wasteful number, since it uses less digits than its factorization.

7474706853768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 1327656960, while the sum is 72.

The spelling of 7474706853768 in words is "seven trillion, four hundred seventy-four billion, seven hundred six million, eight hundred fifty-three thousand, seven hundred sixty-eight".