5677928202240 has 1080 divisors, whose sum is σ = 23748510279312. Its totient is φ = 1297589207040.

The previous prime is 5677928202203. The next prime is 5677928202253. The reversal of 5677928202240 is 422028297765.

5677928202240 is a `hidden beast` number, since 56 + 7 + 79 + 282 + 0 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 975418530 + ... + 975424350.

Almost surely, 2^{5677928202240} 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 5677928202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874255139656).

5677928202240 is an abundant number, since it is smaller than the sum of its proper divisors (18070582077072).

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

5677928202240 is an frugal number, since it uses more digits than its factorization.

5677928202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883 (or 5838 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 5677928202240 in words is "five trillion, six hundred seventy-seven billion, nine hundred twenty-eight million, two hundred two thousand, two hundred forty".