6579735351840 has 960 divisors, whose sum is σ = 27731893432320. Its totient is φ = 1436484741120.

The previous prime is 6579735351809. The next prime is 6579735351887. The reversal of 6579735351840 is 481535379756.

6579735351840 is a `hidden beast` number, since 6 + 5 + 7 + 9 + 73 + 5 + 3 + 518 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1792353205 + ... + 1792356875.

It is an arithmetic number, because the mean of its divisors is an integer number (28887388992).

Almost surely, 2^{6579735351840} is an apocalyptic number.

6579735351840 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 6579735351840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13865946716160).

6579735351840 is an abundant number, since it is smaller than the sum of its proper divisors (21152158080480).

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

6579735351840 is a wasteful number, since it uses less digits than its factorization.

6579735351840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4587 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 6579735351840 in words is "six trillion, five hundred seventy-nine billion, seven hundred thirty-five million, three hundred fifty-one thousand, eight hundred forty".