75643461 has 24 divisors (see below), whose sum is σ = 111567456. Its totient is φ = 49377120.

The previous prime is 75643453. The next prime is 75643499. The reversal of 75643461 is 16434657.

It is a happy number.

75643461 is a `hidden beast` number, since 7 + 5 + 643 + 4 + 6 + 1 = 666.

It is not a de Polignac number, because 75643461 - 2³ = 75643453 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75643411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97471 + ... + 98243.

It is an arithmetic number, because the mean of its divisors is an integer number (4648644).

Almost surely, 2^75643461 is an apocalyptic number.

It is an amenable number.

75643461 is a deficient number, since it is larger than the sum of its proper divisors (35923995).

75643461 is a wasteful number, since it uses less digits than its factorization.

75643461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 990 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 75643461 is about 8697.3249335643. The cubic root of 75643461 is about 422.9189355580.

It can be divided in two parts, 7564 and 3461, that added together give a square (11025 = 105²).

The spelling of 75643461 in words is "seventy-five million, six hundred forty-three thousand, four hundred sixty-one".