6761651904 has 504 divisors, whose sum is σ = 24663562560. Its totient is φ = 1826302464.

The previous prime is 6761651903. The next prime is 6761651909. The reversal of 6761651904 is 4091561676.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 6761651904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6761651903) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14478679 + ... + 14479145.

It is an arithmetic number, because the mean of its divisors is an integer number (48935640).

Almost surely, 2^6761651904 is an apocalyptic number.

6761651904 is a gapful number since it is divisible by the number (64) 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 6761651904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12331781280).

6761651904 is an abundant number, since it is smaller than the sum of its proper divisors (17901910656).

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

6761651904 is a wasteful number, since it uses less digits than its factorization.

6761651904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 6761651904 is about 82229.2642798171. The cubic root of 6761651904 is about 1890.9683926220.

The spelling of 6761651904 in words is "six billion, seven hundred sixty-one million, six hundred fifty-one thousand, nine hundred four".