4672151059800 has 384 divisors, whose sum is σ = 17293003176960. Its totient is φ = 1020273408000.

The previous prime is 4672151059789. The next prime is 4672151059813. The reversal of 4672151059800 is 89501512764.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4672151059800.

It is a congruent number.

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, 82371450 + ... + 82428150.

It is an arithmetic number, because the mean of its divisors is an integer number (45033862440).

Almost surely, 2^{4672151059800} is an apocalyptic number.

4672151059800 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 4672151059800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8646501588480).

4672151059800 is an abundant number, since it is smaller than the sum of its proper divisors (12620852117160).

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

4672151059800 is a wasteful number, since it uses less digits than its factorization.

4672151059800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57603 (or 57594 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 4672151059800 in words is "four trillion, six hundred seventy-two billion, one hundred fifty-one million, fifty-nine thousand, eight hundred".