7951412952 has 448 divisors, whose sum is σ = 27063029760. Its totient is φ = 2141510400.

The previous prime is 7951412947. The next prime is 7951412957. The reversal of 7951412952 is 2592141597.

7951412952 is a `hidden beast` number, since 7 + 9 + 514 + 129 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (7951412947) and next prime (7951412957).

It is a junction number, because it is equal to n+sod(n) for n = 7951412898 and 7951412907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7951412957) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 77198133 + ... + 77198235.

Almost surely, 2^7951412952 is an apocalyptic number.

7951412952 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 7951412952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13531514880).

7951412952 is an abundant number, since it is smaller than the sum of its proper divisors (19111616808).

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

7951412952 is a wasteful number, since it uses less digits than its factorization.

7951412952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 207 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 7951412952 is about 89170.6955899751. The cubic root of 7951412952 is about 1995.9428546845.

It can be divided in two parts, 7951 and 412952, that added together give a triangular number (420903 = T₉₁₇).

The spelling of 7951412952 in words is "seven billion, nine hundred fifty-one million, four hundred twelve thousand, nine hundred fifty-two".