784372055040 has 792 divisors, whose sum is σ = 3174561160992. Its totient is φ = 178548572160.

The previous prime is 784372055039. The next prime is 784372055083. The reversal of 784372055040 is 40550273487.

784372055040 is a `hidden beast` number, since 7 + 8 + 4 + 37 + 20 + 550 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 702212562 + ... + 702213678.

Almost surely, 2^784372055040 is an apocalyptic number.

784372055040 is a gapful number since it is divisible by the number (70) 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 784372055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587280580496).

784372055040 is an abundant number, since it is smaller than the sum of its proper divisors (2390189105952).

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

784372055040 is a wasteful number, since it uses less digits than its factorization.

784372055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 784372055040 in words is "seven hundred eighty-four billion, three hundred seventy-two million, fifty-five thousand, forty".