6701540040 has 192 divisors, whose sum is σ = 23496782400. Its totient is φ = 1646701056.

The previous prime is 6701540039. The next prime is 6701540089. The reversal of 6701540040 is 400451076.

It is a junction number, because it is equal to n+sod(n) for n = 6701539986 and 6701540013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4019287 + ... + 4020953.

It is an arithmetic number, because the mean of its divisors is an integer number (122379075).

Almost surely, 2^6701540040 is an apocalyptic number.

6701540040 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 6701540040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11748391200).

6701540040 is an abundant number, since it is smaller than the sum of its proper divisors (16795242360).

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

6701540040 is a wasteful number, since it uses less digits than its factorization.

6701540040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 6701540040 is about 81862.9344697587. The cubic root of 6701540040 is about 1885.3480621942.

The spelling of 6701540040 in words is "six billion, seven hundred one million, five hundred forty thousand, forty".