6981206400 has 1152 divisors, whose sum is σ = 31793277600. Its totient is φ = 1486356480.

The previous prime is 6981206371. The next prime is 6981206467. The reversal of 6981206400 is 46021896.

6981206400 = 300³ + 301³ + ... + 435³.

6981206400 is a `hidden beast` number, since 6 + 9 + 8 + 1 + 2 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71971152 + ... + 71971248.

Almost surely, 2^6981206400 is an apocalyptic number.

6981206400 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 6981206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15896638800).

6981206400 is an abundant number, since it is smaller than the sum of its proper divisors (24812071200).

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

6981206400 is a wasteful number, since it uses less digits than its factorization.

6981206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6981206400 is about 83553.6139254311. The cubic root of 6981206400 is about 1911.2177025258.

The spelling of 6981206400 in words is "six billion, nine hundred eighty-one million, two hundred six thousand, four hundred".