6492739680 has 240 divisors, whose sum is σ = 26187749280. Its totient is φ = 1484034048.

The previous prime is 6492739661. The next prime is 6492739681. The reversal of 6492739680 is 869372946.

It is a happy number.

6492739680 is a `hidden beast` number, since 6 + 492 + 73 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6492739681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54936 + ... + 126504.

It is an arithmetic number, because the mean of its divisors is an integer number (109115622).

Almost surely, 2^6492739680 is an apocalyptic number.

6492739680 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 6492739680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13093874640).

6492739680 is an abundant number, since it is smaller than the sum of its proper divisors (19695009600).

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

6492739680 is a wasteful number, since it uses less digits than its factorization.

6492739680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71603 (or 71586 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 6492739680 is about 80577.5383093825. The cubic root of 6492739680 is about 1865.5604676045.

The spelling of 6492739680 in words is "six billion, four hundred ninety-two million, seven hundred thirty-nine thousand, six hundred eighty".