6735587040 has 576 divisors, whose sum is σ = 28894320000. Its totient is φ = 1419780096.

The previous prime is 6735587021. The next prime is 6735587069. The reversal of 6735587040 is 407855376.

6735587040 is a `hidden beast` number, since 67 + 3 + 5 + 587 + 0 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6420436 + ... + 6421484.

It is an arithmetic number, because the mean of its divisors is an integer number (50163750).

Almost surely, 2^6735587040 is an apocalyptic number.

6735587040 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 6735587040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14447160000).

6735587040 is an abundant number, since it is smaller than the sum of its proper divisors (22158732960).

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

6735587040 is a wasteful number, since it uses less digits than its factorization.

6735587040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 6735587040 is about 82070.6222713097. The cubic root of 6735587040 is about 1888.5354909998.

The spelling of 6735587040 in words is "six billion, seven hundred thirty-five million, five hundred eighty-seven thousand, forty".