8292073680 has 480 divisors, whose sum is σ = 33372114048. Its totient is φ = 1891123200.

The previous prime is 8292073661. The next prime is 8292073687. The reversal of 8292073680 is 863702928.

8292073680 is a `hidden beast` number, since 82 + 9 + 207 + 368 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8292073687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3634140 + ... + 3636420.

Almost surely, 2^8292073680 is an apocalyptic number.

8292073680 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 8292073680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16686057024).

8292073680 is an abundant number, since it is smaller than the sum of its proper divisors (25080040368).

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

8292073680 is a wasteful number, since it uses less digits than its factorization.

8292073680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8292073680 is about 91060.8240683116. The cubic root of 8292073680 is about 2024.0491338247.

The spelling of 8292073680 in words is "eight billion, two hundred ninety-two million, seventy-three thousand, six hundred eighty".