4606535625600 has 192 divisors, whose sum is σ = 15197792279040. Its totient is φ = 1226384209920.

The previous prime is 4606535625577. The next prime is 4606535625689. The reversal of 4606535625600 is 65265356064.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4606535625600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5431939 + ... + 6222461.

It is an arithmetic number, because the mean of its divisors is an integer number (79155168120).

Almost surely, 2^{4606535625600} is an apocalyptic number.

4606535625600 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 4606535625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7598896139520).

4606535625600 is an abundant number, since it is smaller than the sum of its proper divisors (10591256653440).

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

4606535625600 is a wasteful number, since it uses less digits than its factorization.

4606535625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791157 (or 791140 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 48.

The spelling of 4606535625600 in words is "four trillion, six hundred six billion, five hundred thirty-five million, six hundred twenty-five thousand, six hundred".