7374901395456 has 1800 divisors, whose sum is σ = 27770142597120. Its totient is φ = 1938357485568.

The previous prime is 7374901395391. The next prime is 7374901395467. The reversal of 7374901395456 is 6545931094737.

It is a happy number.

7374901395456 is a `hidden beast` number, since 7 + 3 + 7 + 4 + 90 + 1 + 3 + 95 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 7374901395393 and 7374901395402.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 58070089665 + ... + 58070089791.

Almost surely, 2^{7374901395456} is an apocalyptic number.

7374901395456 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 7374901395456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13885071298560).

7374901395456 is an abundant number, since it is smaller than the sum of its proper divisors (20395241201664).

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

7374901395456 is a wasteful number, since it uses less digits than its factorization.

7374901395456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 7374901395456 in words is "seven trillion, three hundred seventy-four billion, nine hundred one million, three hundred ninety-five thousand, four hundred fifty-six".