8461672800 has 576 divisors, whose sum is σ = 33872832000. Its totient is φ = 1828915200.

The previous prime is 8461672763. The next prime is 8461672801. The reversal of 8461672800 is 82761648.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8461672801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15640530 + ... + 15641070.

It is an arithmetic number, because the mean of its divisors is an integer number (58807000).

Almost surely, 2^8461672800 is an apocalyptic number.

8461672800 is a gapful number since it is divisible by the number (80) 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 8461672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16936416000).

8461672800 is an abundant number, since it is smaller than the sum of its proper divisors (25411159200).

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

8461672800 is a wasteful number, since it uses less digits than its factorization.

8461672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 8461672800 is about 91987.3513044049. The cubic root of 8461672800 is about 2037.7555091265.

The spelling of 8461672800 in words is "eight billion, four hundred sixty-one million, six hundred seventy-two thousand, eight hundred".