8372168640 has 448 divisors, whose sum is σ = 32505822720. Its totient is φ = 2011668480.

The previous prime is 8372168639. The next prime is 8372168641. The reversal of 8372168640 is 468612738.

It is an interprime number because it is at equal distance from previous prime (8372168639) and next prime (8372168641).

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 (8372168641) 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, 13020159 + ... + 13020801.

It is an arithmetic number, because the mean of its divisors is an integer number (72557640).

Almost surely, 2^8372168640 is an apocalyptic number.

8372168640 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 8372168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16252911360).

8372168640 is an abundant number, since it is smaller than the sum of its proper divisors (24133654080).

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

8372168640 is a wasteful number, since it uses less digits than its factorization.

8372168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 8372168640 is about 91499.5554087559. Note that the first 3 decimals coincide. The cubic root of 8372168640 is about 2030.5451745813.

The spelling of 8372168640 in words is "eight billion, three hundred seventy-two million, one hundred sixty-eight thousand, six hundred forty".