6942307405824 has 1248 divisors, whose sum is σ = 25534610294400. Its totient is φ = 1852000174080.

The previous prime is 6942307405811. The next prime is 6942307405931. The reversal of 6942307405824 is 4285047032496.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 16490041134 + ... + 16490041554.

Almost surely, 2^{6942307405824} is an apocalyptic number.

6942307405824 is a gapful number since it is divisible by the number (64) 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 6942307405824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12767305147200).

6942307405824 is an abundant number, since it is smaller than the sum of its proper divisors (18592302888576).

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

6942307405824 is a wasteful number, since it uses less digits than its factorization.

6942307405824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 6942307405824 in words is "six trillion, nine hundred forty-two billion, three hundred seven million, four hundred five thousand, eight hundred twenty-four".