8250138624 has 672 divisors, whose sum is σ = 30121652736. Its totient is φ = 1981808640.

The previous prime is 8250138619. The next prime is 8250138653. The reversal of 8250138624 is 4268310528.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×8250138624² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 266133489 + ... + 266133519.

It is an arithmetic number, because the mean of its divisors is an integer number (44823888).

Almost surely, 2^8250138624 is an apocalyptic number.

8250138624 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 8250138624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15060826368).

8250138624 is an abundant number, since it is smaller than the sum of its proper divisors (21871514112).

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

8250138624 is a wasteful number, since it uses less digits than its factorization.

8250138624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 8250138624 is about 90830.2737197241. The cubic root of 8250138624 is about 2020.6313276792.

The spelling of 8250138624 in words is "eight billion, two hundred fifty million, one hundred thirty-eight thousand, six hundred twenty-four".