6754537920 has 672 divisors, whose sum is σ = 25702686720. Its totient is φ = 1495203840.

The previous prime is 6754537919. The next prime is 6754537939. The reversal of 6754537920 is 297354576.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6754537920.

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, 85500441 + ... + 85500519.

Almost surely, 2^6754537920 is an apocalyptic number.

6754537920 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 6754537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12851343360).

6754537920 is an abundant number, since it is smaller than the sum of its proper divisors (18948148800).

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

6754537920 is a wasteful number, since it uses less digits than its factorization.

6754537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The square root of 6754537920 is about 82185.9958873773. The cubic root of 6754537920 is about 1890.3049926323.

The spelling of 6754537920 in words is "six billion, seven hundred fifty-four million, five hundred thirty-seven thousand, nine hundred twenty".