7506950400 has 378 divisors, whose sum is σ = 27875882930. Its totient is φ = 2000609280.

The previous prime is 7506950327. The next prime is 7506950417. The reversal of 7506950400 is 40596057.

It can be written as a sum of positive squares in 3 ways, for example, as 2176782336 + 5330168064 = 46656^2 + 73008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4664796 + ... + 4666404.

Almost surely, 2^7506950400 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 7506950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13937941465).

7506950400 is an abundant number, since it is smaller than the sum of its proper divisors (20368932530).

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

7506950400 is an equidigital number, since it uses as much as digits as its factorization.

7506950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 7506950400 is about 86642.6592389684. The cubic root of 7506950400 is about 1958.0382982524.

The spelling of 7506950400 in words is "seven billion, five hundred six million, nine hundred fifty thousand, four hundred".