7484400000 has 1152 divisors, whose sum is σ = 34805272320. Its totient is φ = 1555200000.

The previous prime is 7484399977. The next prime is 7484400017. The reversal of 7484400000 is 44847.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 680399995 + ... + 680400005.

It is an arithmetic number, because the mean of its divisors is an integer number (30212910).

Almost surely, 2^7484400000 is an apocalyptic number.

7484400000 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 7484400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17402636160).

7484400000 is an abundant number, since it is smaller than the sum of its proper divisors (27320872320).

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

7484400000 is an frugal number, since it uses more digits than its factorization.

7484400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 7484400000 is about 86512.4268530250. The cubic root of 7484400000 is about 1956.0757244198.

Adding to 7484400000 its reverse (44847), we get a palindrome (7484444847).

The spelling of 7484400000 in words is "seven billion, four hundred eighty-four million, four hundred thousand".