7479360000 has 900 divisors, whose sum is σ = 31969705482. Its totient is φ = 1677312000.

The previous prime is 7479359989. The next prime is 7479360037. The reversal of 7479360000 is 639747.

7479360000 is a `hidden beast` number, since 7 + 47 + 9 + 3 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 366799104 + 7112560896 = 19152^2 + 84336^2 .

It is a tau number, because it is divible by the number of its divisors (900).

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 89 ways as a sum of consecutive naturals, for example, 141119974 + ... + 141120026.

Almost surely, 2^7479360000 is an apocalyptic number.

7479360000 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 7479360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15984852741).

7479360000 is an abundant number, since it is smaller than the sum of its proper divisors (24490345482).

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

7479360000 is an equidigital number, since it uses as much as digits as its factorization.

7479360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 7479360000 is about 86483.2931842908. The cubic root of 7479360000 is about 1955.6365515886.

Adding to 7479360000 its reverse (639747), we get a palindrome (7479999747).

The spelling of 7479360000 in words is "seven billion, four hundred seventy-nine million, three hundred sixty thousand".