296795378880 has 3136 divisors, whose sum is σ = 1504435838976. Its totient is φ = 53747712000.

The previous prime is 296795378851. The next prime is 296795378881. The reversal of 296795378880 is 88873597692.

296795378880 is a `hidden beast` number, since 2 + 9 + 6 + 7 + 9 + 537 + 8 + 8 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 296795378799 and 296795378808.

It is not an unprimeable number, because it can be changed into a prime (296795378881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 7238911660 + ... + 7238911700.

It is an arithmetic number, because the mean of its divisors is an integer number (479730816).

Almost surely, 2^296795378880 is an apocalyptic number.

296795378880 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 296795378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752217919488).

296795378880 is an abundant number, since it is smaller than the sum of its proper divisors (1207640460096).

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

296795378880 is a wasteful number, since it uses less digits than its factorization.

296795378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 296795378880 in words is "two hundred ninety-six billion, seven hundred ninety-five million, three hundred seventy-eight thousand, eight hundred eighty".