787651634952 has 1024 divisors, whose sum is σ = 2907297792000. Its totient is φ = 191825584128.

The previous prime is 787651634923. The next prime is 787651634953. The reversal of 787651634952 is 259436156787.

787651634952 is a `hidden beast` number, since 7 + 8 + 76 + 516 + 3 + 49 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 787651634952.

It is not an unprimeable number, because it can be changed into a prime (787651634953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4552899538 + ... + 4552899710.

It is an arithmetic number, because the mean of its divisors is an integer number (2839158000).

Almost surely, 2^787651634952 is an apocalyptic number.

787651634952 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 787651634952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453648896000).

787651634952 is an abundant number, since it is smaller than the sum of its proper divisors (2119646157048).

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

787651634952 is a wasteful number, since it uses less digits than its factorization.

787651634952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 457 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 787651634952 in words is "seven hundred eighty-seven billion, six hundred fifty-one million, six hundred thirty-four thousand, nine hundred fifty-two".