8074037664 has 768 divisors, whose sum is σ = 31875379200. Its totient is φ = 1940336640.

The previous prime is 8074037659. The next prime is 8074037689. The reversal of 8074037664 is 4667304708.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136848067 + ... + 136848125.

It is an arithmetic number, because the mean of its divisors is an integer number (41504400).

Almost surely, 2^8074037664 is an apocalyptic number.

8074037664 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 8074037664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15937689600).

8074037664 is an abundant number, since it is smaller than the sum of its proper divisors (23801341536).

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

8074037664 is a wasteful number, since it uses less digits than its factorization.

8074037664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 8074037664 is about 89855.6490377761. The cubic root of 8074037664 is about 2006.1508693442.

The spelling of 8074037664 in words is "eight billion, seventy-four million, thirty-seven thousand, six hundred sixty-four".