6956415648 has 384 divisors, whose sum is σ = 25243545600. Its totient is φ = 1814731776.

The previous prime is 6956415611. The next prime is 6956415659. The reversal of 6956415648 is 8465146596.

6956415648 is a `hidden beast` number, since 6 + 9 + 564 + 15 + 64 + 8 = 666.

It is a super-3 number, since 3×6956415648³ (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6956415594 and 6956415603.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8097843 + ... + 8098701.

It is an arithmetic number, because the mean of its divisors is an integer number (65738400).

Almost surely, 2^6956415648 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 6956415648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12621772800).

6956415648 is an abundant number, since it is smaller than the sum of its proper divisors (18287129952).

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

6956415648 is a wasteful number, since it uses less digits than its factorization.

6956415648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 987 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 6956415648 is about 83405.1296264205. The cubic root of 6956415648 is about 1908.9527301548.

The spelling of 6956415648 in words is "six billion, nine hundred fifty-six million, four hundred fifteen thousand, six hundred forty-eight".