7345578240 has 1296 divisors, whose sum is σ = 35011267200. Its totient is φ = 1408942080.

The previous prime is 7345578223. The next prime is 7345578323. The reversal of 7345578240 is 428755437.

7345578240 is a `hidden beast` number, since 7 + 34 + 5 + 578 + 2 + 40 = 666.

It is a super-2 number, since 2×7345578240² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 565044474 + ... + 565044486.

Almost surely, 2^7345578240 is an apocalyptic number.

7345578240 is a gapful number since it is divisible by the number (70) 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 7345578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17505633600).

7345578240 is an abundant number, since it is smaller than the sum of its proper divisors (27665688960).

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

7345578240 is a wasteful number, since it uses less digits than its factorization.

7345578240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The square root of 7345578240 is about 85706.3488896826. The cubic root of 7345578240 is about 1943.9063105790.

It can be divided in two parts, 7345 and 578240, that added together give a palindrome (585585).

The spelling of 7345578240 in words is "seven billion, three hundred forty-five million, five hundred seventy-eight thousand, two hundred forty".