7468402500 has 300 divisors, whose sum is σ = 26282996124. Its totient is φ = 1837728000.

The previous prime is 7468402493. The next prime is 7468402511. The reversal of 7468402500 is 52048647.

7468402500 is a `hidden beast` number, since 74 + 6 + 84 + 0 + 2 + 500 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 7468070724 + 331776 = 86418^2 + 576^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 2631082 + ... + 2633918.

Almost surely, 2^7468402500 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 7468402500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13141498062).

7468402500 is an abundant number, since it is smaller than the sum of its proper divisors (18814593624).

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

7468402500 is a wasteful number, since it uses less digits than its factorization.

7468402500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 7468402500 is about 86419.9195787638. The cubic root of 7468402500 is about 1954.6810616043.

The spelling of 7468402500 in words is "seven billion, four hundred sixty-eight million, four hundred two thousand, five hundred".