738790856100000 has 2304 divisors, whose sum is σ = 3103665192714240. Its totient is φ = 169283520000000.

The previous prime is 738790856099977. The next prime is 738790856100007. The reversal of 738790856100000 is 1658097837.

738790856100000 is a `hidden beast` number, since 7 + 3 + 8 + 79 + 0 + 8 + 561 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 738790856100000.

It is not an unprimeable number, because it can be changed into a prime (738790856100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 39590090670 + ... + 39590109330.

It is an arithmetic number, because the mean of its divisors is an integer number (1347076906560).

Almost surely, 2^{738790856100000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 738790856100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551832596357120).

738790856100000 is an abundant number, since it is smaller than the sum of its proper divisors (2364874336614240).

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

738790856100000 is a wasteful number, since it uses less digits than its factorization.

738790856100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18790 (or 18756 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 738790856100000 in words is "seven hundred thirty-eight trillion, seven hundred ninety billion, eight hundred fifty-six million, one hundred thousand".