242978369760 has 1440 divisors, whose sum is σ = 1074444896448. Its totient is φ = 51372195840.

The previous prime is 242978369747. The next prime is 242978369761. The reversal of 242978369760 is 67963879242.

242978369760 is a `hidden beast` number, since 2 + 429 + 7 + 83 + 69 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242978369761) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 766493122 + ... + 766493438.

Almost surely, 2^242978369760 is an apocalyptic number.

242978369760 is a gapful number since it is divisible by the number (20) 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 242978369760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537222448224).

242978369760 is an abundant number, since it is smaller than the sum of its proper divisors (831466526688).

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

242978369760 is a wasteful number, since it uses less digits than its factorization.

242978369760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 242978369760 in words is "two hundred forty-two billion, nine hundred seventy-eight million, three hundred sixty-nine thousand, seven hundred sixty".