5677620900 has 288 divisors, whose sum is σ = 19978721280. Its totient is φ = 1215252480.

The previous prime is 5677620847. The next prime is 5677620931. The reversal of 5677620900 is 90267765.

It is a happy number.

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

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, 12816079 + ... + 12816521.

It is an arithmetic number, because the mean of its divisors is an integer number (69370560).

Almost surely, 2^5677620900 is an apocalyptic number.

5677620900 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 5677620900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9989360640).

5677620900 is an abundant number, since it is smaller than the sum of its proper divisors (14301100380).

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

5677620900 is a wasteful number, since it uses less digits than its factorization.

5677620900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 5677620900 is about 75349.9893828791. The cubic root of 5677620900 is about 1783.9751353053.

The spelling of 5677620900 in words is "five billion, six hundred seventy-seven million, six hundred twenty thousand, nine hundred".