5546772000 has 1536 divisors, whose sum is σ = 27172454400. Its totient is φ = 1064448000.

The previous prime is 5546771953. The next prime is 5546772017. The reversal of 5546772000 is 2776455.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 191267986 + ... + 191268014.

It is an arithmetic number, because the mean of its divisors is an integer number (17690400).

Almost surely, 2^5546772000 is an apocalyptic number.

5546772000 is a gapful number since it is divisible by the number (50) 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 5546772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13586227200).

5546772000 is an abundant number, since it is smaller than the sum of its proper divisors (21625682400).

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

5546772000 is a wasteful number, since it uses less digits than its factorization.

5546772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 5546772000 is about 74476.6540601818. The cubic root of 5546772000 is about 1770.1637309039.

The spelling of 5546772000 in words is "five billion, five hundred forty-six million, seven hundred seventy-two thousand".