1468653120 has 672 divisors, whose sum is σ = 6110971776. Its totient is φ = 331776000.

The previous prime is 1468653107. The next prime is 1468653143. The reversal of 1468653120 is 213568641.

It is a happy number.

1468653120 is a `hidden beast` number, since 1 + 46 + 86 + 531 + 2 + 0 = 666.

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

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, 14541070 + ... + 14541170.

It is an arithmetic number, because the mean of its divisors is an integer number (9093708).

Almost surely, 2^1468653120 is an apocalyptic number.

1468653120 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 1468653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055485888).

1468653120 is an abundant number, since it is smaller than the sum of its proper divisors (4642318656).

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

1468653120 is a wasteful number, since it uses less digits than its factorization.

1468653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1468653120 is about 38323.0103201719. The cubic root of 1468653120 is about 1136.6839926305.

The spelling of 1468653120 in words is "one billion, four hundred sixty-eight million, six hundred fifty-three thousand, one hundred twenty".