6736940640 has 96 divisors (see below), whose sum is σ = 23579307360. Its totient is φ = 1796516352.

The previous prime is 6736940633. The next prime is 6736940653. The reversal of 6736940640 is 460496376.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×6736940640³ (a number of 30 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 775419 + ... + 784058.

It is an arithmetic number, because the mean of its divisors is an integer number (245617785).

Almost surely, 2^6736940640 is an apocalyptic number.

6736940640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6736940640 is an abundant number, since it is smaller than the sum of its proper divisors (16842366720).

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

6736940640 is a wasteful number, since it uses less digits than its factorization.

6736940640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559501 (or 1559487 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 6736940640 is about 82078.8684132524. The cubic root of 6736940640 is about 1888.6619907591.

It can be divided in two parts, 6736 and 940640, that added together give a triangular number (947376 = T₁₃₇₆).

The spelling of 6736940640 in words is "six billion, seven hundred thirty-six million, nine hundred forty thousand, six hundred forty".