661414464 has 56 divisors (see below), whose sum is σ = 1944441120. Its totient is φ = 220470912.

The previous prime is 661414463. The next prime is 661414469. The reversal of 661414464 is 464414166.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (661414463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189654 + ... + 193109.

Almost surely, 2^661414464 is an apocalyptic number.

661414464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

661414464 is an abundant number, since it is smaller than the sum of its proper divisors (1283026656).

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

661414464 is a wasteful number, since it uses less digits than its factorization.

661414464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382784 (or 382768 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 661414464 is about 25717.9793918574. The cubic root of 661414464 is about 871.2803028378.

The spelling of 661414464 in words is "six hundred sixty-one million, four hundred fourteen thousand, four hundred sixty-four".