6936291240 has 256 divisors, whose sum is σ = 22982400000. Its totient is φ = 1666925568.

The previous prime is 6936291239. The next prime is 6936291277. The reversal of 6936291240 is 421926396.

It is a super-2 number, since 2×6936291240² = 96224272332201475200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6936291192 and 6936291201.

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, 18301371 + ... + 18301749.

It is an arithmetic number, because the mean of its divisors is an integer number (89775000).

Almost surely, 2^6936291240 is an apocalyptic number.

6936291240 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 6936291240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491200000).

6936291240 is an abundant number, since it is smaller than the sum of its proper divisors (16046108760).

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

6936291240 is a wasteful number, since it uses less digits than its factorization.

6936291240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 6936291240 is about 83284.3997396871. The cubic root of 6936291240 is about 1907.1101313883.

The spelling of 6936291240 in words is "six billion, nine hundred thirty-six million, two hundred ninety-one thousand, two hundred forty".