6712611840 has 1056 divisors, whose sum is σ = 28969799040. Its totient is φ = 1415577600.

The previous prime is 6712611811. The next prime is 6712611887. The reversal of 6712611840 is 481162176.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1056).

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 = 6712611795 and 6712611804.

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, 163722220 + ... + 163722260.

Almost surely, 2^6712611840 is an apocalyptic number.

6712611840 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 6712611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14484899520).

6712611840 is an abundant number, since it is smaller than the sum of its proper divisors (22257187200).

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

6712611840 is a wasteful number, since it uses less digits than its factorization.

6712611840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 6712611840 is about 81930.5305731630. The cubic root of 6712611840 is about 1886.3857695210.

The spelling of 6712611840 in words is "six billion, seven hundred twelve million, six hundred eleven thousand, eight hundred forty".