7490346240 has 288 divisors, whose sum is σ = 25915107456. Its totient is φ = 1832878080.

The previous prime is 7490346233. The next prime is 7490346277. The reversal of 7490346240 is 426430947.

It is a super-2 number, since 2×7490346240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11331510 + ... + 11332170.

It is an arithmetic number, because the mean of its divisors is an integer number (89983012).

Almost surely, 2^7490346240 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 7490346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12957553728).

7490346240 is an abundant number, since it is smaller than the sum of its proper divisors (18424761216).

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

7490346240 is a wasteful number, since it uses less digits than its factorization.

7490346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 7490346240 is about 86546.7864221428. The cubic root of 7490346240 is about 1956.5936112591.

The spelling of 7490346240 in words is "seven billion, four hundred ninety million, three hundred forty-six thousand, two hundred forty".