6292421856 has 288 divisors, whose sum is σ = 21656194560. Its totient is φ = 1694794752.

The previous prime is 6292421809. The next prime is 6292421879. The reversal of 6292421856 is 6581242926.

6292421856 is a `hidden beast` number, since 62 + 92 + 421 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 2512701 + ... + 2515203.

It is an arithmetic number, because the mean of its divisors is an integer number (75195120).

Almost surely, 2^6292421856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6292421856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10828097280).

6292421856 is an abundant number, since it is smaller than the sum of its proper divisors (15363772704).

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

6292421856 is a wasteful number, since it uses less digits than its factorization.

6292421856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 2587 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 6292421856 is about 79324.7871475241. The cubic root of 6292421856 is about 1846.1739143844.

The spelling of 6292421856 in words is "six billion, two hundred ninety-two million, four hundred twenty-one thousand, eight hundred fifty-six".