8010987264 has 576 divisors, whose sum is σ = 28779520000. Its totient is φ = 2194698240.

The previous prime is 8010987227. The next prime is 8010987269. The reversal of 8010987264 is 4627890108.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8010987269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73495242 + ... + 73495350.

Almost surely, 2^8010987264 is an apocalyptic number.

8010987264 is a gapful number since it is divisible by the number (84) 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 8010987264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14389760000).

8010987264 is an abundant number, since it is smaller than the sum of its proper divisors (20768532736).

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

8010987264 is a wasteful number, since it uses less digits than its factorization.

8010987264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8010987264 is about 89504.1186985269. The cubic root of 8010987264 is about 2000.9151864863.

The spelling of 8010987264 in words is "eight billion, ten million, nine hundred eighty-seven thousand, two hundred sixty-four".