7438442700 has 144 divisors (see below), whose sum is σ = 23570991360. Its totient is φ = 1799911680.

The previous prime is 7438442699. The next prime is 7438442731. The reversal of 7438442700 is 72448347.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213937 + ... + 246263.

It is an arithmetic number, because the mean of its divisors is an integer number (163687440).

Almost surely, 2^7438442700 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 7438442700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11785495680).

7438442700 is an abundant number, since it is smaller than the sum of its proper divisors (16132548660).

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

7438442700 is a wasteful number, since it uses less digits than its factorization.

7438442700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32416 (or 32409 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 39.

The square root of 7438442700 is about 86246.4068816783. The cubic root of 7438442700 is about 1952.0637978986.

The spelling of 7438442700 in words is "seven billion, four hundred thirty-eight million, four hundred forty-two thousand, seven hundred".