7955019072 has 1008 divisors, whose sum is σ = 32758270272. Its totient is φ = 1881169920.

The previous prime is 7955019071. The next prime is 7955019097. The reversal of 7955019072 is 2709105597.

7955019072 is a `hidden beast` number, since 7 + 9 + 550 + 1 + 90 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7955019071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 108972828 + ... + 108972900.

It is an arithmetic number, because the mean of its divisors is an integer number (32498284).

Almost surely, 2^7955019072 is an apocalyptic number.

7955019072 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 7955019072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16379135136).

7955019072 is an abundant number, since it is smaller than the sum of its proper divisors (24803251200).

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

7955019072 is a wasteful number, since it uses less digits than its factorization.

7955019072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The square root of 7955019072 is about 89190.9136179241. The cubic root of 7955019072 is about 1996.2445420147.

The spelling of 7955019072 in words is "seven billion, nine hundred fifty-five million, nineteen thousand, seventy-two".