6982507022400 has 6048 divisors, whose sum is σ = 36253639618560. Its totient is φ = 1285645271040.

The previous prime is 6982507022369. The next prime is 6982507022411. The reversal of 6982507022400 is 42207052896.

6982507022400 is a `hidden beast` number, since 6 + 9 + 82 + 507 + 0 + 22 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 148563979177 + ... + 148563979223.

It is an arithmetic number, because the mean of its divisors is an integer number (5994318720).

Almost surely, 2^{6982507022400} is an apocalyptic number.

6982507022400 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 6982507022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18126819809280).

6982507022400 is an abundant number, since it is smaller than the sum of its proper divisors (29271132596160).

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

6982507022400 is a wasteful number, since it uses less digits than its factorization.

6982507022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 6982507022400 in words is "six trillion, nine hundred eighty-two billion, five hundred seven million, twenty-two thousand, four hundred".