7842474400 has 36 divisors (see below), whose sum is σ = 19145442582. Its totient is φ = 3136989440.

The previous prime is 7842474397. The next prime is 7842474407. The reversal of 7842474400 is 44742487.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7555781776 + 286692624 = 86924^2 + 16932^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (7842474407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4900747 + ... + 4902346.

Almost surely, 2^7842474400 is an apocalyptic number.

It is an amenable number.

7842474400 is an abundant number, since it is smaller than the sum of its proper divisors (11302968182).

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

7842474400 is a wasteful number, since it uses less digits than its factorization.

7842474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9803113 (or 9803100 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 40.

The square root of 7842474400 is about 88557.7461321143. The cubic root of 7842474400 is about 1986.7857507606.

The spelling of 7842474400 in words is "seven billion, eight hundred forty-two million, four hundred seventy-four thousand, four hundred".