6097963872 has 768 divisors, whose sum is σ = 23410114560. Its totient is φ = 1338163200.

The previous prime is 6097963871. The next prime is 6097963877. The reversal of 6097963872 is 2783697906.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6097963871) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68516404 + ... + 68516492.

It is an arithmetic number, because the mean of its divisors is an integer number (30481920).

Almost surely, 2^6097963872 is an apocalyptic number.

6097963872 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 6097963872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11705057280).

6097963872 is an abundant number, since it is smaller than the sum of its proper divisors (17312150688).

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

6097963872 is a wasteful number, since it uses less digits than its factorization.

6097963872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The square root of 6097963872 is about 78089.4606973310. The cubic root of 6097963872 is about 1826.9568174138.

It can be divided in two parts, 6097 and 963872, that added together give a palindrome (969969).

The spelling of 6097963872 in words is "six billion, ninety-seven million, nine hundred sixty-three thousand, eight hundred seventy-two".