6417090223020 has 384 divisors, whose sum is σ = 21615973908480. Its totient is φ = 1575796654080.

The previous prime is 6417090222979. The next prime is 6417090223021. The reversal of 6417090223020 is 203220907146.

6417090223020 is a `hidden beast` number, since 6 + 417 + 0 + 9 + 0 + 2 + 230 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6417090223021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74265682 + ... + 74352038.

It is an arithmetic number, because the mean of its divisors is an integer number (56291598720).

Almost surely, 2^{6417090223020} is an apocalyptic number.

6417090223020 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 6417090223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10807986954240).

6417090223020 is an abundant number, since it is smaller than the sum of its proper divisors (15198883685460).

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

6417090223020 is a wasteful number, since it uses less digits than its factorization.

6417090223020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86622 (or 86614 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 6417090223020 in words is "six trillion, four hundred seventeen billion, ninety million, two hundred twenty-three thousand, twenty".