7954344072 has 192 divisors, whose sum is σ = 23860104000. Its totient is φ = 2448506880.

The previous prime is 7954344017. The next prime is 7954344077. The reversal of 7954344072 is 2704434597.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7954344077) 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, 6898248 + ... + 6899400.

It is an arithmetic number, because the mean of its divisors is an integer number (124271375).

Almost surely, 2^7954344072 is an apocalyptic number.

7954344072 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 7954344072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11930052000).

7954344072 is an abundant number, since it is smaller than the sum of its proper divisors (15905759928).

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

7954344072 is a wasteful number, since it uses less digits than its factorization.

7954344072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 7954344072 is about 89187.1295199033. The cubic root of 7954344072 is about 1996.1880785767.

The spelling of 7954344072 in words is "seven billion, nine hundred fifty-four million, three hundred forty-four thousand, seventy-two".