6753629340 has 180 divisors, whose sum is σ = 21514972248. Its totient is φ = 1773455040.

The previous prime is 6753629339. The next prime is 6753629369. The reversal of 6753629340 is 439263576.

6753629340 is a `hidden beast` number, since 67 + 536 + 29 + 34 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×6753629340² = 91223018524217671200, which contains 22 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 59 ways as a sum of consecutive naturals, for example, 8166007 + ... + 8166833.

Almost surely, 2^6753629340 is an apocalyptic number.

6753629340 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 6753629340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10757486124).

6753629340 is an abundant number, since it is smaller than the sum of its proper divisors (14761342908).

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

6753629340 is a wasteful number, since it uses less digits than its factorization.

6753629340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 6753629340 is about 82180.4681174304. The cubic root of 6753629340 is about 1890.2202313283.

The spelling of 6753629340 in words is "six billion, seven hundred fifty-three million, six hundred twenty-nine thousand, three hundred forty".