8451264640 has 384 divisors, whose sum is σ = 25864392960. Its totient is φ = 2571264000.

The previous prime is 8451264637. The next prime is 8451264641. The reversal of 8451264640 is 464621548.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8451264593 and 8451264602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8451264641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55968565 + ... + 55968715.

It is an arithmetic number, because the mean of its divisors is an integer number (67355190).

Almost surely, 2^8451264640 is an apocalyptic number.

8451264640 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 8451264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12932196480).

8451264640 is an abundant number, since it is smaller than the sum of its proper divisors (17413128320).

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

8451264640 is a wasteful number, since it uses less digits than its factorization.

8451264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 8451264640 is about 91930.7600316673. The cubic root of 8451264640 is about 2036.9196622875.

The spelling of 8451264640 in words is "eight billion, four hundred fifty-one million, two hundred sixty-four thousand, six hundred forty".