6732761040 has 160 divisors (see below), whose sum is σ = 23938944000. Its totient is φ = 1737469440.

The previous prime is 6732761027. The next prime is 6732761047. The reversal of 6732761040 is 401672376.

6732761040 is a `hidden beast` number, since 6 + 7 + 32 + 7 + 610 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6732760986 and 6732761004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6732761047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16686 + ... + 117234.

It is an arithmetic number, because the mean of its divisors is an integer number (149618400).

Almost surely, 2^6732761040 is an apocalyptic number.

6732761040 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 6732761040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11969472000).

6732761040 is an abundant number, since it is smaller than the sum of its proper divisors (17206182960).

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

6732761040 is a wasteful number, since it uses less digits than its factorization.

6732761040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100602 (or 100590 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 6732761040 is about 82053.4035857136. The cubic root of 6732761040 is about 1888.2713344711.

The spelling of 6732761040 in words is "six billion, seven hundred thirty-two million, seven hundred sixty-one thousand, forty".