1468507776 has 64 divisors (see below), whose sum is σ = 3917289600. Its totient is φ = 487424000.

The previous prime is 1468507769. The next prime is 1468507813. The reversal of 1468507776 is 6777058641.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83776 + ... + 99776.

It is an arithmetic number, because the mean of its divisors is an integer number (61207650).

Almost surely, 2^1468507776 is an apocalyptic number.

1468507776 is a gapful number since it is divisible by the number (16) 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 1468507776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958644800).

1468507776 is an abundant number, since it is smaller than the sum of its proper divisors (2448781824).

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

1468507776 is a wasteful number, since it uses less digits than its factorization.

1468507776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16257 (or 16245 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The square root of 1468507776 is about 38321.1139712822. The cubic root of 1468507776 is about 1136.6464944071.

The spelling of 1468507776 in words is "one billion, four hundred sixty-eight million, five hundred seven thousand, seven hundred seventy-six".