7425470656100 has 288 divisors, whose sum is σ = 18805803851520. Its totient is φ = 2492619816960.

The previous prime is 7425470656063. The next prime is 7425470656111. The reversal of 7425470656100 is 16560745247.

It is a super-2 number, since 2×7425470656100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2230539236 + ... + 2230542564.

It is an arithmetic number, because the mean of its divisors is an integer number (65297930040).

Almost surely, 2^{7425470656100} is an apocalyptic number.

7425470656100 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 7425470656100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9402901925760).

7425470656100 is an abundant number, since it is smaller than the sum of its proper divisors (11380333195420).

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

7425470656100 is a wasteful number, since it uses less digits than its factorization.

7425470656100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 47.

The spelling of 7425470656100 in words is "seven trillion, four hundred twenty-five billion, four hundred seventy million, six hundred fifty-six thousand, one hundred".