362768472738 has 192 divisors, whose sum is σ = 944781926400. Its totient is φ = 98415959040.

The previous prime is 362768472719. The next prime is 362768472743. The reversal of 362768472738 is 837274867263.

362768472738 is a `hidden beast` number, since 3 + 62 + 76 + 8 + 472 + 7 + 38 = 666.

It is a super-2 number, since 2×362768472738² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

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, 155094373 + ... + 155096711.

It is an arithmetic number, because the mean of its divisors is an integer number (4920739200).

Almost surely, 2^362768472738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 362768472738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472390963200).

362768472738 is an abundant number, since it is smaller than the sum of its proper divisors (582013453662).

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

362768472738 is a wasteful number, since it uses less digits than its factorization.

362768472738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3114 counting only the distinct ones).

The product of its digits is 113799168, while the sum is 63.

The spelling of 362768472738 in words is "three hundred sixty-two billion, seven hundred sixty-eight million, four hundred seventy-two thousand, seven hundred thirty-eight".