7834131072 has 192 divisors, whose sum is σ = 24060004800. Its totient is φ = 2439548928.

The previous prime is 7834131059. The next prime is 7834131077. The reversal of 7834131072 is 2701314387.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×7834131072² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7834131077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1595373 + ... + 1600275.

It is an arithmetic number, because the mean of its divisors is an integer number (125312525).

Almost surely, 2^7834131072 is an apocalyptic number.

7834131072 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 7834131072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12030002400).

7834131072 is an abundant number, since it is smaller than the sum of its proper divisors (16225873728).

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

7834131072 is a wasteful number, since it uses less digits than its factorization.

7834131072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7834131072 is about 88510.6268873970. The cubic root of 7834131072 is about 1986.0809439966.

The spelling of 7834131072 in words is "seven billion, eight hundred thirty-four million, one hundred thirty-one thousand, seventy-two".