8661492000 has 1152 divisors, whose sum is σ = 38922024960. Its totient is φ = 1847577600.

The previous prime is 8661491999. The next prime is 8661492011. The reversal of 8661492000 is 2941668.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129275967 + ... + 129276033.

It is an arithmetic number, because the mean of its divisors is an integer number (33786480).

Almost surely, 2^8661492000 is an apocalyptic number.

8661492000 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 8661492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19461012480).

8661492000 is an abundant number, since it is smaller than the sum of its proper divisors (30260532960).

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

8661492000 is a wasteful number, since it uses less digits than its factorization.

8661492000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8661492000 is about 93067.1370570729. The cubic root of 8661492000 is about 2053.6711532596.

The spelling of 8661492000 in words is "eight billion, six hundred sixty-one million, four hundred ninety-two thousand".