7862426352 has 240 divisors, whose sum is σ = 25978837248. Its totient is φ = 2278679040.

The previous prime is 7862426281. The next prime is 7862426353. The reversal of 7862426352 is 2536242687.

7862426352 is a `hidden beast` number, since 7 + 8 + 6 + 2 + 4 + 2 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7862426298 and 7862426307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7862426353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 979668 + ... + 987660.

Almost surely, 2^7862426352 is an apocalyptic number.

7862426352 is a gapful number since it is divisible by the number (72) 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 7862426352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12989418624).

7862426352 is an abundant number, since it is smaller than the sum of its proper divisors (18116410896).

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

7862426352 is a wasteful number, since it uses less digits than its factorization.

7862426352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8050 (or 8032 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 7862426352 is about 88670.3239646726. The cubic root of 7862426352 is about 1988.4691771570.

It can be divided in two parts, 78624 and 26352, that added together give a 4-th power (104976 = 18⁴).

The spelling of 7862426352 in words is "seven billion, eight hundred sixty-two million, four hundred twenty-six thousand, three hundred fifty-two".