7340922419688 has 960 divisors, whose sum is σ = 26159508809280. Its totient is φ = 1903470243840.

The previous prime is 7340922419683. The next prime is 7340922419729. The reversal of 7340922419688 is 8869142290437.

7340922419688 is a `hidden beast` number, since 7 + 3 + 409 + 22 + 41 + 96 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (7340922419683) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1160984095 + ... + 1160990417.

It is an arithmetic number, because the mean of its divisors is an integer number (27249488343).

Almost surely, 2^{7340922419688} is an apocalyptic number.

7340922419688 is a gapful number since it is divisible by the number (78) 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 7340922419688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13079754404640).

7340922419688 is an abundant number, since it is smaller than the sum of its proper divisors (18818586389592).

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

7340922419688 is a wasteful number, since it uses less digits than its factorization.

7340922419688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460 (or 6436 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 7340922419688 in words is "seven trillion, three hundred forty billion, nine hundred twenty-two million, four hundred nineteen thousand, six hundred eighty-eight".