783849648960 has 2688 divisors, whose sum is σ = 3680961822720. Its totient is φ = 154506756096.

The previous prime is 783849648949. The next prime is 783849648973. The reversal of 783849648960 is 69846948387.

783849648960 is a `hidden beast` number, since 7 + 8 + 3 + 8 + 496 + 48 + 96 + 0 = 666.

It is a super-2 number, since 2×783849648960² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6172044417 + ... + 6172044543.

It is an arithmetic number, because the mean of its divisors is an integer number (1369405440).

Almost surely, 2^783849648960 is an apocalyptic number.

783849648960 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 783849648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840480911360).

783849648960 is an abundant number, since it is smaller than the sum of its proper divisors (2897112173760).

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

783849648960 is a wasteful number, since it uses less digits than its factorization.

783849648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

It can be divided in two parts, 783849 and 648960, that added together give a square (1432809 = 1197²).

The spelling of 783849648960 in words is "seven hundred eighty-three billion, eight hundred forty-nine million, six hundred forty-eight thousand, nine hundred sixty".