7468956819 has 36 divisors (see below), whose sum is σ = 11378576664. Its totient is φ = 4720324224.

The previous prime is 7468956809. The next prime is 7468956841. The reversal of 7468956819 is 9186598647.

7468956819 is a `hidden beast` number, since 7 + 4 + 68 + 9 + 568 + 1 + 9 = 666.

It is not a de Polignac number, because 7468956819 - 2¹¹ = 7468954771 is a prime.

It is a super-2 number, since 2×7468956819² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7468956809) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 531052 + ... + 544934.

It is an arithmetic number, because the mean of its divisors is an integer number (316071574).

Almost surely, 2^7468956819 is an apocalyptic number.

7468956819 is a deficient number, since it is larger than the sum of its proper divisors (3909619845).

7468956819 is a wasteful number, since it uses less digits than its factorization.

7468956819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14048 (or 14022 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The square root of 7468956819 is about 86423.1266444347. The cubic root of 7468956819 is about 1954.7294204533.

The spelling of 7468956819 in words is "seven billion, four hundred sixty-eight million, nine hundred fifty-six thousand, eight hundred nineteen".