8629488000 has 576 divisors, whose sum is σ = 36079823520. Its totient is φ = 1970841600.

The previous prime is 8629487983. The next prime is 8629488017. The reversal of 8629488000 is 8849268.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8629487983) and next prime (8629488017).

It is a tau number, because it is divible by the number of its divisors (576).

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7055389 + ... + 7056611.

Almost surely, 2^8629488000 is an apocalyptic number.

8629488000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8629488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18039911760).

8629488000 is an abundant number, since it is smaller than the sum of its proper divisors (27450335520).

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

8629488000 is a wasteful number, since it uses less digits than its factorization.

8629488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8629488000 is about 92895.0375423790. The cubic root of 8629488000 is about 2051.1386099911.

The spelling of 8629488000 in words is "eight billion, six hundred twenty-nine million, four hundred eighty-eight thousand".