6634429920 has 72 divisors (see below), whose sum is σ = 22639997016. Its totient is φ = 1769180928.

The previous prime is 6634429903. The next prime is 6634429931. The reversal of 6634429920 is 299244366.

6634429920 is a `hidden beast` number, since 6 + 634 + 4 + 2 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2302182 + ... + 2305061.

It is an arithmetic number, because the mean of its divisors is an integer number (314444403).

Almost surely, 2^6634429920 is an apocalyptic number.

6634429920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6634429920 is an abundant number, since it is smaller than the sum of its proper divisors (16005567096).

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

6634429920 is a wasteful number, since it uses less digits than its factorization.

6634429920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4607264 (or 4607253 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 6634429920 is about 81452.0099199523. The cubic root of 6634429920 is about 1879.0335609172.

The spelling of 6634429920 in words is "six billion, six hundred thirty-four million, four hundred twenty-nine thousand, nine hundred twenty".