6934978512 has 320 divisors, whose sum is σ = 25037445120. Its totient is φ = 1800247680.

The previous prime is 6934978507. The next prime is 6934978517. The reversal of 6934978512 is 2158794396.

6934978512 is a `hidden beast` number, since 6 + 9 + 34 + 97 + 8 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (6934978507) and next prime (6934978517).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6934978517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4024083 + ... + 4025805.

It is an arithmetic number, because the mean of its divisors is an integer number (78242016).

Almost surely, 2^6934978512 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 6934978512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12518722560).

6934978512 is an abundant number, since it is smaller than the sum of its proper divisors (18102466608).

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

6934978512 is a wasteful number, since it uses less digits than its factorization.

6934978512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1746 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 6934978512 is about 83276.5183710270. The cubic root of 6934978512 is about 1906.9898137366.

The spelling of 6934978512 in words is "six billion, nine hundred thirty-four million, nine hundred seventy-eight thousand, five hundred twelve".