4675625472000 has 2496 divisors, whose sum is σ = 19661784390144. Its totient is φ = 980995276800.

The previous prime is 4675625471969. The next prime is 4675625472017. The reversal of 4675625472000 is 2745265764.

It is a super-2 number, since 2×4675625472000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64049663964 + ... + 64049664036.

It is an arithmetic number, because the mean of its divisors is an integer number (7877317464).

Almost surely, 2^{4675625472000} is an apocalyptic number.

4675625472000 is a gapful number since it is divisible by the number (40) 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 4675625472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9830892195072).

4675625472000 is an abundant number, since it is smaller than the sum of its proper divisors (14986158918144).

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

4675625472000 is a wasteful number, since it uses less digits than its factorization.

4675625472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 4675625472000 in words is "four trillion, six hundred seventy-five billion, six hundred twenty-five million, four hundred seventy-two thousand".