7479945000 has 800 divisors, whose sum is σ = 30210079680. Its totient is φ = 1710720000.

The previous prime is 7479944963. The next prime is 7479945001. The reversal of 7479945000 is 5499747.

7479945000 is a `hidden beast` number, since 74 + 79 + 9 + 4 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7479945001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 102464964 + ... + 102465036.

Almost surely, 2^7479945000 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 7479945000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15105039840).

7479945000 is an abundant number, since it is smaller than the sum of its proper divisors (22730134680).

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

7479945000 is a wasteful number, since it uses less digits than its factorization.

7479945000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 7479945000 is about 86486.6752742872. The cubic root of 7479945000 is about 1955.6875371255.

The spelling of 7479945000 in words is "seven billion, four hundred seventy-nine million, nine hundred forty-five thousand".