7487428104000 has 1120 divisors, whose sum is σ = 30859824996000. Its totient is φ = 1779447398400.

The previous prime is 7487428103993. The next prime is 7487428104017. The reversal of 7487428104000 is 4018247847.

It can be written as a sum of positive squares in 16 ways, for example, as 7455389967936 + 32038136064 = 2730456^2 + 178992^2 .

It is a super-2 number, since 2×7487428104000² (a number of 27 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 244280676 + ... + 244311324.

It is an arithmetic number, because the mean of its divisors is an integer number (27553415175).

Almost surely, 2^{7487428104000} 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 7487428104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15429912498000).

7487428104000 is an abundant number, since it is smaller than the sum of its proper divisors (23372396892000).

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

7487428104000 is a wasteful number, since it uses less digits than its factorization.

7487428104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30730 (or 30701 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 7487428104000 in words is "seven trillion, four hundred eighty-seven billion, four hundred twenty-eight million, one hundred four thousand".