6981603840 has 640 divisors, whose sum is σ = 26575084800. Its totient is φ = 1755758592.

The previous prime is 6981603829. The next prime is 6981603851. The reversal of 6981603840 is 483061896.

It is an interprime number because it is at equal distance from previous prime (6981603829) and next prime (6981603851).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162362859 + ... + 162362901.

It is an arithmetic number, because the mean of its divisors is an integer number (41523570).

Almost surely, 2^6981603840 is an apocalyptic number.

6981603840 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 6981603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13287542400).

6981603840 is an abundant number, since it is smaller than the sum of its proper divisors (19593480960).

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

6981603840 is an frugal number, since it uses more digits than its factorization.

6981603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6981603840 is about 83555.9922447217. The cubic root of 6981603840 is about 1911.2539703715.

The spelling of 6981603840 in words is "six billion, nine hundred eighty-one million, six hundred three thousand, eight hundred forty".