6977617920 has 648 divisors, whose sum is σ = 29934633456. Its totient is φ = 1472200704.

The previous prime is 6977617909. The next prime is 6977617943. The reversal of 6977617920 is 297167796.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 536739834 + ... + 536739846.

It is an arithmetic number, because the mean of its divisors is an integer number (46195422).

Almost surely, 2^6977617920 is an apocalyptic number.

6977617920 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 6977617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14967316728).

6977617920 is an abundant number, since it is smaller than the sum of its proper divisors (22957015536).

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

6977617920 is an equidigital number, since it uses as much as digits as its factorization.

6977617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The square root of 6977617920 is about 83532.1370491621. The cubic root of 6977617920 is about 1910.8901783342.

The spelling of 6977617920 in words is "six billion, nine hundred seventy-seven million, six hundred seventeen thousand, nine hundred twenty".