6761062980 has 384 divisors, whose sum is σ = 26411212800. Its totient is φ = 1400053248.

The previous prime is 6761062943. The next prime is 6761062991. The reversal of 6761062980 is 892601676.

6761062980 is a `hidden beast` number, since 6 + 7 + 6 + 10 + 629 + 8 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 1649814 + ... + 1653906.

It is an arithmetic number, because the mean of its divisors is an integer number (68779200).

Almost surely, 2^6761062980 is an apocalyptic number.

6761062980 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 6761062980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13205606400).

6761062980 is an abundant number, since it is smaller than the sum of its proper divisors (19650149820).

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

6761062980 is a wasteful number, since it uses less digits than its factorization.

6761062980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4160 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6761062980 is about 82225.6832139448. The cubic root of 6761062980 is about 1890.9134913928.

The spelling of 6761062980 in words is "six billion, seven hundred sixty-one million, sixty-two thousand, nine hundred eighty".