6292706640 has 240 divisors, whose sum is σ = 21539079744. Its totient is φ = 1518612480.

The previous prime is 6292706639. The next prime is 6292706663. The reversal of 6292706640 is 466072926.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 6292706592 and 6292706601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9786159 + ... + 9786801.

Almost surely, 2^6292706640 is an apocalyptic number.

6292706640 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 6292706640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10769539872).

6292706640 is an abundant number, since it is smaller than the sum of its proper divisors (15246373104).

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

6292706640 is a wasteful number, since it uses less digits than its factorization.

6292706640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 6292706640 is about 79326.5821777290. The cubic root of 6292706640 is about 1846.2017654976.

The spelling of 6292706640 in words is "six billion, two hundred ninety-two million, seven hundred six thousand, six hundred forty".