7984742400 has 576 divisors, whose sum is σ = 30961355400. Its totient is φ = 2017198080.

The previous prime is 7984742387. The next prime is 7984742411. The reversal of 7984742400 is 42474897.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×7984742400² (a number of 21 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 420249591 + ... + 420249609.

Almost surely, 2^7984742400 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 7984742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15480677700).

7984742400 is an abundant number, since it is smaller than the sum of its proper divisors (22976613000).

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

7984742400 is an equidigital number, since it uses as much as digits as its factorization.

7984742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 7984742400 is about 89357.3858167303. The cubic root of 7984742400 is about 1998.7277241620.

The spelling of 7984742400 in words is "seven billion, nine hundred eighty-four million, seven hundred forty-two thousand, four hundred".