6742179840 has 512 divisors, whose sum is σ = 24913785600. Its totient is φ = 1541406720.

The previous prime is 6742179839. The next prime is 6742179841. The reversal of 6742179840 is 489712476.

It is an interprime number because it is at equal distance from previous prime (6742179839) and next prime (6742179841).

It is a tau number, because it is divible by the number of its divisors (512).

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 6742179840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6742179841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156794859 + ... + 156794901.

Almost surely, 2^6742179840 is an apocalyptic number.

6742179840 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 6742179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12456892800).

6742179840 is an abundant number, since it is smaller than the sum of its proper divisors (18171605760).

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

6742179840 is a wasteful number, since it uses less digits than its factorization.

6742179840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 6742179840 is about 82110.7778552852. Note that the first 3 decimals coincide. The cubic root of 6742179840 is about 1889.1514569457.

The spelling of 6742179840 in words is "six billion, seven hundred forty-two million, one hundred seventy-nine thousand, eight hundred forty".