6997878144 has 384 divisors, whose sum is σ = 22384512000. Its totient is φ = 2151152640.

The previous prime is 6997878137. The next prime is 6997878157. The reversal of 6997878144 is 4418787996.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88580697 + ... + 88580775.

It is an arithmetic number, because the mean of its divisors is an integer number (58293000).

Almost surely, 2^6997878144 is an apocalyptic number.

6997878144 is a gapful number since it is divisible by the number (64) 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 6997878144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11192256000).

6997878144 is an abundant number, since it is smaller than the sum of its proper divisors (15386633856).

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

6997878144 is a wasteful number, since it uses less digits than its factorization.

6997878144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 174 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The square root of 6997878144 is about 83653.3211773448. The cubic root of 6997878144 is about 1912.7378792154.

The spelling of 6997878144 in words is "six billion, nine hundred ninety-seven million, eight hundred seventy-eight thousand, one hundred forty-four".