6946257152 has 72 divisors (see below), whose sum is σ = 14240466240. Its totient is φ = 3379783680.

The previous prime is 6946257133. The next prime is 6946257167. The reversal of 6946257152 is 2517526496.

It is a super-2 number, since 2×6946257152² = 96500976843422302208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6946257097 and 6946257106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3422474 + ... + 3424502.

Almost surely, 2^6946257152 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 6946257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7120233120).

6946257152 is an abundant number, since it is smaller than the sum of its proper divisors (7294209088).

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

6946257152 is a wasteful number, since it uses less digits than its factorization.

6946257152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2385 counting only the distinct ones).

The product of its digits is 907200, while the sum is 47.

The square root of 6946257152 is about 83344.2088690030. The cubic root of 6946257152 is about 1908.0230590530.

The spelling of 6946257152 in words is "six billion, nine hundred forty-six million, two hundred fifty-seven thousand, one hundred fifty-two".