6977964840 has 512 divisors, whose sum is σ = 28546007040. Its totient is φ = 1319731200.

The previous prime is 6977964821. The next prime is 6977964841. The reversal of 6977964840 is 484697796.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (6977964841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4868764 + ... + 4870196.

It is an arithmetic number, because the mean of its divisors is an integer number (55753920).

Almost surely, 2^6977964840 is an apocalyptic number.

6977964840 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 6977964840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14273003520).

6977964840 is an abundant number, since it is smaller than the sum of its proper divisors (21568042200).

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

6977964840 is a wasteful number, since it uses less digits than its factorization.

6977964840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The square root of 6977964840 is about 83534.2135894030. The cubic root of 6977964840 is about 1910.9218469753.

The spelling of 6977964840 in words is "six billion, nine hundred seventy-seven million, nine hundred sixty-four thousand, eight hundred forty".