7484400000000 has 2376 divisors, whose sum is σ = 34926919617408. Its totient is φ = 1555200000000.

The previous prime is 7484399999941. The next prime is 7484400000013. The reversal of 7484400000000 is 44847.

It is a tau number, because it is divible by the number of its divisors (2376).

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

It is a self number, because there is not a number n which added to its sum of digits gives 7484400000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 680399999995 + ... + 680400000005.

Almost surely, 2^{7484400000000} is an apocalyptic number.

7484400000000 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 7484400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17463459808704).

7484400000000 is an abundant number, since it is smaller than the sum of its proper divisors (27442519617408).

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

7484400000000 is an frugal number, since it uses more digits than its factorization.

7484400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 28 counting only the distinct ones).

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

Adding to 7484400000000 its reverse (44847), we get a palindrome (7484400044847).

The spelling of 7484400000000 in words is "seven trillion, four hundred eighty-four billion, four hundred million", and thus it is an aban number.