6400148100 has 216 divisors, whose sum is σ = 20719611360. Its totient is φ = 1515847680.

The previous prime is 6400148099. The next prime is 6400148123. The reversal of 6400148100 is 18410046.

It is a super-2 number, since 2×6400148100² = 81923791403867220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24903172 + ... + 24903428.

Almost surely, 2^6400148100 is an apocalyptic number.

6400148100 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 6400148100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10359805680).

6400148100 is an abundant number, since it is smaller than the sum of its proper divisors (14319463260).

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

6400148100 is a wasteful number, since it uses less digits than its factorization.

6400148100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 6400148100 is about 80000.9256196452. The cubic root of 6400148100 is about 1856.6498545702.

Adding to 6400148100 its reverse (18410046), we get a palindrome (6418558146).

It can be divided in two parts, 64001 and 48100, that added together give a triangular number (112101 = T₄₇₃).

The spelling of 6400148100 in words is "six billion, four hundred million, one hundred forty-eight thousand, one hundred".