368029242869760 has 1152 divisors, whose sum is σ = 1439570334384000. Its totient is φ = 88932710744064.

The previous prime is 368029242869731. The next prime is 368029242869803. The reversal of 368029242869760 is 67968242920863.

368029242869760 is a `hidden beast` number, since 3 + 6 + 80 + 2 + 9 + 2 + 428 + 69 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 2778834262 + ... + 2778966698.

It is an arithmetic number, because the mean of its divisors is an integer number (1249627026375).

Almost surely, 2^{368029242869760} is an apocalyptic number.

368029242869760 is a gapful number since it is divisible by the number (30) 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 368029242869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719785167192000).

368029242869760 is an abundant number, since it is smaller than the sum of its proper divisors (1071541091514240).

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

368029242869760 is a wasteful number, since it uses less digits than its factorization.

368029242869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132538 (or 132489 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 368029242869760 in words is "three hundred sixty-eight trillion, twenty-nine billion, two hundred forty-two million, eight hundred sixty-nine thousand, seven hundred sixty".