6978410496 has 480 divisors, whose sum is σ = 22832409600. Its totient is φ = 2116730880.

The previous prime is 6978410477. The next prime is 6978410501. The reversal of 6978410496 is 6940148796.

6978410496 is a `hidden beast` number, since 69 + 7 + 84 + 10 + 496 = 666.

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 39 ways as a sum of consecutive naturals, for example, 118278115 + ... + 118278173.

It is an arithmetic number, because the mean of its divisors is an integer number (47567520).

Almost surely, 2^6978410496 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 6978410496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11416204800).

6978410496 is an abundant number, since it is smaller than the sum of its proper divisors (15853999104).

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

6978410496 is a wasteful number, since it uses less digits than its factorization.

6978410496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 6978410496 is about 83536.8810526225. The cubic root of 6978410496 is about 1910.9625272060.

The spelling of 6978410496 in words is "six billion, nine hundred seventy-eight million, four hundred ten thousand, four hundred ninety-six".