7400168697456 has 400 divisors, whose sum is σ = 22720353145600. Its totient is φ = 2318837538816.

The previous prime is 7400168697431. The next prime is 7400168697457. The reversal of 7400168697456 is 6547968610047.

It is a happy number.

7400168697456 is a `hidden beast` number, since 7 + 4 + 0 + 0 + 16 + 86 + 97 + 456 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7400168697393 and 7400168697402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7400168697457) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2086315875 + ... + 2086319421.

It is an arithmetic number, because the mean of its divisors is an integer number (56800882864).

Almost surely, 2^{7400168697456} is an apocalyptic number.

7400168697456 is a gapful number since it is divisible by the number (76) 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 7400168697456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11360176572800).

7400168697456 is an abundant number, since it is smaller than the sum of its proper divisors (15320184448144).

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

7400168697456 is a wasteful number, since it uses less digits than its factorization.

7400168697456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 7400168697456 in words is "seven trillion, four hundred billion, one hundred sixty-eight million, six hundred ninety-seven thousand, four hundred fifty-six".