7382426451840 has 1024 divisors, whose sum is σ = 30300309964800. Its totient is φ = 1678857338880.

The previous prime is 7382426451793. The next prime is 7382426451887. The reversal of 7382426451840 is 481546242837.

7382426451840 is a `hidden beast` number, since 7 + 3 + 8 + 24 + 2 + 64 + 518 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (7382426451793) and next prime (7382426451887).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1024337517 + ... + 1024344723.

It is an arithmetic number, because the mean of its divisors is an integer number (29590146450).

Almost surely, 2^{7382426451840} 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 7382426451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15150154982400).

7382426451840 is an abundant number, since it is smaller than the sum of its proper divisors (22917883512960).

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

7382426451840 is a wasteful number, since it uses less digits than its factorization.

7382426451840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7580 (or 7562 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 7382426451840 in words is "seven trillion, three hundred eighty-two billion, four hundred twenty-six million, four hundred fifty-one thousand, eight hundred forty".