6977213760 has 336 divisors, whose sum is σ = 25283160000. Its totient is φ = 1616609280.

The previous prime is 6977213759. The next prime is 6977213767. The reversal of 6977213760 is 673127796.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6977213767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5585616 + ... + 5586864.

It is an arithmetic number, because the mean of its divisors is an integer number (75247500).

Almost surely, 2^6977213760 is an apocalyptic number.

6977213760 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 6977213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12641580000).

6977213760 is an abundant number, since it is smaller than the sum of its proper divisors (18305946240).

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

6977213760 is a wasteful number, since it uses less digits than its factorization.

6977213760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 48.

The square root of 6977213760 is about 83529.7178254542. The cubic root of 6977213760 is about 1910.8532832077.

The spelling of 6977213760 in words is "six billion, nine hundred seventy-seven million, two hundred thirteen thousand, seven hundred sixty".