7129534464 has 624 divisors, whose sum is σ = 25044801600. Its totient is φ = 2006581248.

The previous prime is 7129534459. The next prime is 7129534487. The reversal of 7129534464 is 4644359217.

7129534464 is a `hidden beast` number, since 71 + 2 + 9 + 534 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245846002 + ... + 245846030.

It is an arithmetic number, because the mean of its divisors is an integer number (40135900).

Almost surely, 2^7129534464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7129534464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12522400800).

7129534464 is an abundant number, since it is smaller than the sum of its proper divisors (17915267136).

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

7129534464 is a wasteful number, since it uses less digits than its factorization.

7129534464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 66 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 7129534464 is about 84436.5706551373. The cubic root of 7129534464 is about 1924.6586870216.

The spelling of 7129534464 in words is "seven billion, one hundred twenty-nine million, five hundred thirty-four thousand, four hundred sixty-four".