6934553430840 has 1536 divisors, whose sum is σ = 28776923136000. Its totient is φ = 1411943436288.

The previous prime is 6934553430829. The next prime is 6934553430841. The reversal of 6934553430840 is 480343554396.

6934553430840 is a `hidden beast` number, since 6 + 9 + 3 + 4 + 553 + 4 + 3 + 0 + 84 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6934553430841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25034488782 + ... + 25034489058.

It is an arithmetic number, because the mean of its divisors is an integer number (18734976000).

Almost surely, 2^{6934553430840} is an apocalyptic number.

6934553430840 is a gapful number since it is divisible by the number (60) 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 6934553430840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14388461568000).

6934553430840 is an abundant number, since it is smaller than the sum of its proper divisors (21842369705160).

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

6934553430840 is a wasteful number, since it uses less digits than its factorization.

6934553430840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 6934553430840 in words is "six trillion, nine hundred thirty-four billion, five hundred fifty-three million, four hundred thirty thousand, eight hundred forty".