6416956000 has 576 divisors, whose sum is σ = 20951409024. Its totient is φ = 1880064000.

The previous prime is 6416955953. The next prime is 6416956033. The reversal of 6416956000 is 6596146.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105195970 + ... + 105196030.

It is an arithmetic number, because the mean of its divisors is an integer number (36373974).

Almost surely, 2^6416956000 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 6416956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10475704512).

6416956000 is an abundant number, since it is smaller than the sum of its proper divisors (14534453024).

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

6416956000 is a wasteful number, since it uses less digits than its factorization.

6416956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 6416956000 is about 80105.9049009497. The cubic root of 6416956000 is about 1858.2737288199.

The spelling of 6416956000 in words is "six billion, four hundred sixteen million, nine hundred fifty-six thousand".