6216877440 has 256 divisors, whose sum is σ = 22251096000. Its totient is φ = 1640300544.

The previous prime is 6216877367. The next prime is 6216877453. The reversal of 6216877440 is 447786126.

It is a super-3 number, since 3×6216877440³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1674306 + ... + 1678014.

Almost surely, 2^6216877440 is an apocalyptic number.

6216877440 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 6216877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11125548000).

6216877440 is an abundant number, since it is smaller than the sum of its proper divisors (16034218560).

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

6216877440 is a wasteful number, since it uses less digits than its factorization.

6216877440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 6216877440 is about 78847.1777554530. The cubic root of 6216877440 is about 1838.7559959309.

The spelling of 6216877440 in words is "six billion, two hundred sixteen million, eight hundred seventy-seven thousand, four hundred forty".