42763640 has 32 divisors (see below), whose sum is σ = 96964560. Its totient is φ = 16972800.

The previous prime is 42763639. The next prime is 42763681. The reversal of 42763640 is 4636724.

42763640 = T₂₅₆ + T₂₅₇ + ... + T₆₄₈.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42763597 and 42763606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1160 + ... + 9320.

Almost surely, 2^42763640 is an apocalyptic number.

42763640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42763640 is an abundant number, since it is smaller than the sum of its proper divisors (54200920).

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

42763640 is a wasteful number, since it uses less digits than its factorization.

42763640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8303 (or 8299 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 42763640 is about 6539.3914089921. The cubic root of 42763640 is about 349.6967168659.

The spelling of 42763640 in words is "forty-two million, seven hundred sixty-three thousand, six hundred forty".