7493070240 has 336 divisors, whose sum is σ = 26752547808. Its totient is φ = 1982320128.

The previous prime is 7493070239. The next prime is 7493070253. The reversal of 7493070240 is 420703947.

It is a super-2 number, since 2×7493070240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7493070195 and 7493070204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26477139 + ... + 26477421.

It is an arithmetic number, because the mean of its divisors is an integer number (79620678).

Almost surely, 2^7493070240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7493070240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13376273904).

7493070240 is an abundant number, since it is smaller than the sum of its proper divisors (19259477568).

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

7493070240 is a wasteful number, since it uses less digits than its factorization.

7493070240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 7493070240 is about 86562.5221444015. The cubic root of 7493070240 is about 1956.8307660745.

The spelling of 7493070240 in words is "seven billion, four hundred ninety-three million, seventy thousand, two hundred forty".