6952271040 has 896 divisors, whose sum is σ = 30600944640. Its totient is φ = 1459814400.

The previous prime is 6952271021. The next prime is 6952271059. The reversal of 6952271040 is 401722596.

6952271040 is a `hidden beast` number, since 69 + 522 + 71 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6952271021) and next prime (6952271059).

It is a super-2 number, since 2×6952271040² = 96668145227245363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 6952270986 and 6952271004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21003675 + ... + 21004005.

It is an arithmetic number, because the mean of its divisors is an integer number (34152840).

Almost surely, 2^6952271040 is an apocalyptic number.

6952271040 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 6952271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15300472320).

6952271040 is an abundant number, since it is smaller than the sum of its proper divisors (23648673600).

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

6952271040 is a wasteful number, since it uses less digits than its factorization.

6952271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6952271040 is about 83380.2796829082. The cubic root of 6952271040 is about 1908.5735390615.

The spelling of 6952271040 in words is "six billion, nine hundred fifty-two million, two hundred seventy-one thousand, forty".