6763236480 has 2048 divisors, whose sum is σ = 35533209600. Its totient is φ = 1167851520.

The previous prime is 6763236443. The next prime is 6763236509. The reversal of 6763236480 is 846323676.

6763236480 is a `hidden beast` number, since 6 + 7 + 632 + 3 + 6 + 4 + 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 255 ways as a sum of consecutive naturals, for example, 294053749 + ... + 294053771.

It is an arithmetic number, because the mean of its divisors is an integer number (17350200).

Almost surely, 2^6763236480 is an apocalyptic number.

6763236480 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 6763236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17766604800).

6763236480 is an abundant number, since it is smaller than the sum of its proper divisors (28769973120).

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

6763236480 is a wasteful number, since it uses less digits than its factorization.

6763236480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 6763236480 is about 82238.8988253126. The cubic root of 6763236480 is about 1891.1160956360.

The spelling of 6763236480 in words is "six billion, seven hundred sixty-three million, two hundred thirty-six thousand, four hundred eighty".