6420901536 has 384 divisors, whose sum is σ = 23069491200. Its totient is φ = 1697034240.

The previous prime is 6420901519. The next prime is 6420901561. The reversal of 6420901536 is 6351090246.

It is a happy number.

6420901536 is a `hidden beast` number, since 642 + 0 + 9 + 0 + 1 + 5 + 3 + 6 = 666.

It is a super-3 number, since 3×6420901536³ (a number of 30 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6420901536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4311480 + ... + 4312968.

It is an arithmetic number, because the mean of its divisors is an integer number (60076800).

Almost surely, 2^6420901536 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 6420901536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11534745600).

6420901536 is an abundant number, since it is smaller than the sum of its proper divisors (16648589664).

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

6420901536 is a wasteful number, since it uses less digits than its factorization.

6420901536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6420901536 is about 80130.5281150699. The cubic root of 6420901536 is about 1858.6545108039.

The spelling of 6420901536 in words is "six billion, four hundred twenty million, nine hundred one thousand, five hundred thirty-six".