787306641149952 has 2496 divisors, whose sum is σ = 3072221042688000. Its totient is φ = 196812177408000.

The previous prime is 787306641149927. The next prime is 787306641149999. The reversal of 787306641149952 is 259941146603787.

787306641149952 is a `hidden beast` number, since 7 + 8 + 7 + 30 + 66 + 41 + 1 + 499 + 5 + 2 = 666.

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 191 ways as a sum of consecutive naturals, for example, 367728462802 + ... + 367728464942.

It is a 2-persistent number, because it is pandigital, and so is 2⋅787306641149952 = 1574613282299904, but 3⋅787306641149952 = 2361919923449856 is not.

Almost surely, 2^{787306641149952} is an apocalyptic number.

787306641149952 is a gapful number since it is divisible by the number (72) 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 787306641149952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536110521344000).

787306641149952 is an abundant number, since it is smaller than the sum of its proper divisors (2284914401538048).

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

787306641149952 is a wasteful number, since it uses less digits than its factorization.

787306641149952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 787306641149952 in words is "seven hundred eighty-seven trillion, three hundred six billion, six hundred forty-one million, one hundred forty-nine thousand, nine hundred fifty-two".