6759154048920 has 512 divisors, whose sum is σ = 25658102937600. Its totient is φ = 1386117660672.

The previous prime is 6759154048919. The next prime is 6759154048937. The reversal of 6759154048920 is 298404519576.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 411708552 + ... + 411724968.

It is an arithmetic number, because the mean of its divisors is an integer number (50113482300).

Almost surely, 2^{6759154048920} is an apocalyptic number.

6759154048920 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 6759154048920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12829051468800).

6759154048920 is an abundant number, since it is smaller than the sum of its proper divisors (18898948888680).

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

6759154048920 is a wasteful number, since it uses less digits than its factorization.

6759154048920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17507 (or 17503 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 60.

The spelling of 6759154048920 in words is "six trillion, seven hundred fifty-nine billion, one hundred fifty-four million, forty-eight thousand, nine hundred twenty".