1468736100 has 216 divisors, whose sum is σ = 5219527040. Its totient is φ = 342455040.

The previous prime is 1468736083. The next prime is 1468736107. The reversal of 1468736100 is 16378641.

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 (1468736107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 218997 + ... + 225603.

Almost surely, 2^1468736100 is an apocalyptic number.

1468736100 is a gapful number since it is divisible by the number (10) 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 1468736100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609763520).

1468736100 is an abundant number, since it is smaller than the sum of its proper divisors (3750790940).

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

1468736100 is a wasteful number, since it uses less digits than its factorization.

1468736100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6659 (or 6649 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1468736100 is about 38324.0929442564. The cubic root of 1468736100 is about 1136.7054000593.

The spelling of 1468736100 in words is "one billion, four hundred sixty-eight million, seven hundred thirty-six thousand, one hundred".