6956078220 has 864 divisors, whose sum is σ = 29000724480. Its totient is φ = 1332495360.

The previous prime is 6956078219. The next prime is 6956078257. The reversal of 6956078220 is 228706596.

6956078220 is a `hidden beast` number, since 6 + 9 + 560 + 7 + 82 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 67534689 + ... + 67534791.

Almost surely, 2^6956078220 is an apocalyptic number.

6956078220 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 6956078220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14500362240).

6956078220 is an abundant number, since it is smaller than the sum of its proper divisors (22044646260).

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

6956078220 is a wasteful number, since it uses less digits than its factorization.

6956078220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6956078220 is about 83403.1067766663. The cubic root of 6956078220 is about 1908.9218644259.

The spelling of 6956078220 in words is "six billion, nine hundred fifty-six million, seventy-eight thousand, two hundred twenty".