7387914240 has 504 divisors, whose sum is σ = 29863915380. Its totient is φ = 1684537344.

The previous prime is 7387914223. The next prime is 7387914241. The reversal of 7387914240 is 424197837.

It can be written as a sum of positive squares in 2 ways, for example, as 7169347584 + 218566656 = 84672^2 + 14784^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is not an unprimeable number, because it can be changed into a prime (7387914241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18063156 + ... + 18063564.

Almost surely, 2^7387914240 is an apocalyptic number.

7387914240 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 7387914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14931957690).

7387914240 is an abundant number, since it is smaller than the sum of its proper divisors (22476001140).

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

7387914240 is a wasteful number, since it uses less digits than its factorization.

7387914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7387914240 is about 85952.9769117975. The cubic root of 7387914240 is about 1947.6337056373.

The spelling of 7387914240 in words is "seven billion, three hundred eighty-seven million, nine hundred fourteen thousand, two hundred forty".