4672201637376 has 1680 divisors, whose sum is σ = 17981124228144. Its totient is φ = 1200938876928.

The previous prime is 4672201637371. The next prime is 4672201637387. The reversal of 4672201637376 is 6737361022764.

4672201637376 is a `hidden beast` number, since 4 + 6 + 7 + 2 + 201 + 63 + 7 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4672201637371) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 10223635740 + ... + 10223636196.

Almost surely, 2^{4672201637376} 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 4672201637376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8990562114072).

4672201637376 is an abundant number, since it is smaller than the sum of its proper divisors (13308922590768).

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

4672201637376 is an equidigital number, since it uses as much as digits as its factorization.

4672201637376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 4672201637376 in words is "four trillion, six hundred seventy-two billion, two hundred one million, six hundred thirty-seven thousand, three hundred seventy-six".