6996274889400 has 192 divisors, whose sum is σ = 24100345500000. Its totient is φ = 1865513410560.

The previous prime is 6996274889389. The next prime is 6996274889419. The reversal of 6996274889400 is 49884726996.

6996274889400 is a `hidden beast` number, since 6 + 99 + 62 + 74 + 8 + 8 + 9 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71495706 + ... + 71593494.

Almost surely, 2^{6996274889400} is an apocalyptic number.

6996274889400 is a gapful number since it is divisible by the number (60) 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 6996274889400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12050172750000).

6996274889400 is an abundant number, since it is smaller than the sum of its proper divisors (17104070610600).

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

6996274889400 is a wasteful number, since it uses less digits than its factorization.

6996274889400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111063 (or 111048 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 6996274889400 in words is "six trillion, nine hundred ninety-six billion, two hundred seventy-four million, eight hundred eighty-nine thousand, four hundred".