6350227438464 has 384 divisors, whose sum is σ = 23478985504800. Its totient is φ = 1674784677888.

The previous prime is 6350227438433. The next prime is 6350227438487. The reversal of 6350227438464 is 4648347220536.

6350227438464 is a `hidden beast` number, since 6 + 3 + 502 + 2 + 74 + 3 + 8 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6350227438464.

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, 759204 + ... + 3643740.

Almost surely, 2^{6350227438464} is an apocalyptic number.

6350227438464 is a gapful number since it is divisible by the number (64) 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 6350227438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11739492752400).

6350227438464 is an abundant number, since it is smaller than the sum of its proper divisors (17128758066336).

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

6350227438464 is a wasteful number, since it uses less digits than its factorization.

6350227438464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884587 (or 2884562 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 6350227438464 in words is "six trillion, three hundred fifty billion, two hundred twenty-seven million, four hundred thirty-eight thousand, four hundred sixty-four".