7683540480 has 960 divisors, whose sum is σ = 34195239936. Its totient is φ = 1548288000.

The previous prime is 7683540479. The next prime is 7683540481. The reversal of 7683540480 is 840453867.

7683540480 is a `hidden beast` number, since 7 + 68 + 3 + 540 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7683540479) and next prime (7683540481).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7683540481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108218845 + ... + 108218915.

Almost surely, 2^7683540480 is an apocalyptic number.

7683540480 is a gapful number since it is divisible by the number (70) 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 7683540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17097619968).

7683540480 is an abundant number, since it is smaller than the sum of its proper divisors (26511699456).

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

7683540480 is a wasteful number, since it uses less digits than its factorization.

7683540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 7683540480 is about 87655.8068812329. The cubic root of 7683540480 is about 1973.2727925587.

The spelling of 7683540480 in words is "seven billion, six hundred eighty-three million, five hundred forty thousand, four hundred eighty".