378075600756 has 192 divisors, whose sum is σ = 1148211025920. Its totient is φ = 105325920000.

The previous prime is 378075600743. The next prime is 378075600761. The reversal of 378075600756 is 657006570873.

378075600756 is a `hidden beast` number, since 3 + 7 + 8 + 0 + 7 + 560 + 0 + 75 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93326931 + ... + 93330981.

It is an arithmetic number, because the mean of its divisors is an integer number (5980265760).

Almost surely, 2^378075600756 is an apocalyptic number.

378075600756 is a gapful number since it is divisible by the number (36) 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 378075600756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574105512960).

378075600756 is an abundant number, since it is smaller than the sum of its proper divisors (770135425164).

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

378075600756 is a wasteful number, since it uses less digits than its factorization.

378075600756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7123 (or 7115 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 378075600756 in words is "three hundred seventy-eight billion, seventy-five million, six hundred thousand, seven hundred fifty-six".