8346578240 has 448 divisors, whose sum is σ = 27135295488. Its totient is φ = 2361139200.

The previous prime is 8346578221. The next prime is 8346578243. The reversal of 8346578240 is 428756438.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8346578243) 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, 22742537 + ... + 22742903.

It is an arithmetic number, because the mean of its divisors is an integer number (60569856).

Almost surely, 2^8346578240 is an apocalyptic number.

8346578240 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 8346578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13567647744).

8346578240 is an abundant number, since it is smaller than the sum of its proper divisors (18788717248).

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

8346578240 is a wasteful number, since it uses less digits than its factorization.

8346578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 47.

The square root of 8346578240 is about 91359.6094562581. The cubic root of 8346578240 is about 2028.4742059374.

The spelling of 8346578240 in words is "eight billion, three hundred forty-six million, five hundred seventy-eight thousand, two hundred forty".