1463067564 has 96 divisors (see below), whose sum is σ = 4117209600. Its totient is φ = 395020800.

The previous prime is 1463067547. The next prime is 1463067577. The reversal of 1463067564 is 4657603641.

1463067564 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811464 + ... + 813264.

It is an arithmetic number, because the mean of its divisors is an integer number (42887600).

Almost surely, 2^1463067564 is an apocalyptic number.

1463067564 is a gapful number since it is divisible by the number (14) 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 1463067564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058604800).

1463067564 is an abundant number, since it is smaller than the sum of its proper divisors (2654142036).

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

1463067564 is a wasteful number, since it uses less digits than its factorization.

1463067564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 1463067564 is about 38250.0661960212. The cubic root of 1463067564 is about 1135.2411563620.

The spelling of 1463067564 in words is "one billion, four hundred sixty-three million, sixty-seven thousand, five hundred sixty-four".