368478628749 has 192 divisors, whose sum is σ = 693749661696. Its totient is φ = 182891520000.

The previous prime is 368478628747. The next prime is 368478628753. The reversal of 368478628749 is 947826874863.

368478628749 is a `hidden beast` number, since 3 + 68 + 478 + 6 + 28 + 74 + 9 = 666.

It is not a de Polignac number, because 368478628749 - 2¹ = 368478628747 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368478628747) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 750465394 + ... + 750465884.

It is an arithmetic number, because the mean of its divisors is an integer number (3613279488).

Almost surely, 2^368478628749 is an apocalyptic number.

It is an amenable number.

368478628749 is a deficient number, since it is larger than the sum of its proper divisors (325271032947).

368478628749 is a wasteful number, since it uses less digits than its factorization.

368478628749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 917 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 72.

The spelling of 368478628749 in words is "three hundred sixty-eight billion, four hundred seventy-eight million, six hundred twenty-eight thousand, seven hundred forty-nine".