7429544640 has 896 divisors, whose sum is σ = 32186880000. Its totient is φ = 1609445376.

The previous prime is 7429544627. The next prime is 7429544641. The reversal of 7429544640 is 464459247.

7429544640 is a `hidden beast` number, since 7 + 42 + 9 + 544 + 64 + 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 not an unprimeable number, because it can be changed into a prime (7429544641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68160906 + ... + 68161014.

Almost surely, 2^7429544640 is an apocalyptic number.

7429544640 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 7429544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16093440000).

7429544640 is an abundant number, since it is smaller than the sum of its proper divisors (24757335360).

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

7429544640 is a wasteful number, since it uses less digits than its factorization.

7429544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 7429544640 is about 86194.8063400574. The cubic root of 7429544640 is about 1951.2851173742.

The spelling of 7429544640 in words is "seven billion, four hundred twenty-nine million, five hundred forty-four thousand, six hundred forty".