240977633364 has 288 divisors, whose sum is σ = 704701670400. Its totient is φ = 71101255680.

The previous prime is 240977633357. The next prime is 240977633401. The reversal of 240977633364 is 463336779042.

240977633364 is a `hidden beast` number, since 240 + 9 + 7 + 7 + 6 + 33 + 364 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 240977633364.

It is a congruent number.

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, 63934872 + ... + 63938640.

It is an arithmetic number, because the mean of its divisors is an integer number (2446880800).

Almost surely, 2^240977633364 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 240977633364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352350835200).

240977633364 is an abundant number, since it is smaller than the sum of its proper divisors (463724037036).

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

240977633364 is a wasteful number, since it uses less digits than its factorization.

240977633364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 54.

The spelling of 240977633364 in words is "two hundred forty billion, nine hundred seventy-seven million, six hundred thirty-three thousand, three hundred sixty-four".