6034007772 has 288 divisors, whose sum is σ = 17964011520. Its totient is φ = 1702546560.

The previous prime is 6034007747. The next prime is 6034007779. The reversal of 6034007772 is 2777004306.

6034007772 is a `hidden beast` number, since 603 + 40 + 0 + 7 + 7 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6034007779) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56392543 + ... + 56392649.

It is an arithmetic number, because the mean of its divisors is an integer number (62375040).

Almost surely, 2^6034007772 is an apocalyptic number.

6034007772 is a gapful number since it is divisible by the number (62) 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 6034007772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8982005760).

6034007772 is an abundant number, since it is smaller than the sum of its proper divisors (11930003748).

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

6034007772 is a wasteful number, since it uses less digits than its factorization.

6034007772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 6034007772 is about 77678.8759702405. The cubic root of 6034007772 is about 1820.5472503984.

The spelling of 6034007772 in words is "six billion, thirty-four million, seven thousand, seven hundred seventy-two".