6977355840 has 672 divisors, whose sum is σ = 30000122880. Its totient is φ = 1449197568.

The previous prime is 6977355839. The next prime is 6977355893. The reversal of 6977355840 is 485537796.

It is a tau number, because it is divible by the number of its divisors (672).

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, 20704152 + ... + 20704488.

It is an arithmetic number, because the mean of its divisors is an integer number (44643040).

Almost surely, 2^6977355840 is an apocalyptic number.

6977355840 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 6977355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15000061440).

6977355840 is an abundant number, since it is smaller than the sum of its proper divisors (23022767040).

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

6977355840 is a wasteful number, since it uses less digits than its factorization.

6977355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 6977355840 is about 83530.5682968816. The cubic root of 6977355840 is about 1910.8662536283.

It can be divided in two parts, 697 and 7355840, that added together give a palindrome (7356537).

The spelling of 6977355840 in words is "six billion, nine hundred seventy-seven million, three hundred fifty-five thousand, eight hundred forty".