7438742640 has 480 divisors, whose sum is σ = 30128357376. Its totient is φ = 1608837120.

The previous prime is 7438742629. The next prime is 7438742669. The reversal of 7438742640 is 462478347.

7438742640 is a `hidden beast` number, since 7 + 4 + 387 + 4 + 264 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7342774 + ... + 7343786.

Almost surely, 2^7438742640 is an apocalyptic number.

7438742640 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 7438742640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15064178688).

7438742640 is an abundant number, since it is smaller than the sum of its proper divisors (22689614736).

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

7438742640 is a wasteful number, since it uses less digits than its factorization.

7438742640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 7438742640 is about 86248.1457191979. The cubic root of 7438742640 is about 1952.0900352070.

The spelling of 7438742640 in words is "seven billion, four hundred thirty-eight million, seven hundred forty-two thousand, six hundred forty".