6898694400 has 864 divisors, whose sum is σ = 28316104320. Its totient is φ = 1632337920.

The previous prime is 6898694393. The next prime is 6898694423. The reversal of 6898694400 is 44968986.

6898694400 is a `hidden beast` number, since 68 + 98 + 6 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83116759 + ... + 83116841.

Almost surely, 2^6898694400 is an apocalyptic number.

6898694400 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 6898694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14158052160).

6898694400 is an abundant number, since it is smaller than the sum of its proper divisors (21417409920).

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

6898694400 is a wasteful number, since it uses less digits than its factorization.

6898694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 6898694400 is about 83058.3794689013. The cubic root of 6898694400 is about 1903.6581784036.

The spelling of 6898694400 in words is "six billion, eight hundred ninety-eight million, six hundred ninety-four thousand, four hundred".