787745518560 has 3456 divisors, whose sum is σ = 4022670532608. Its totient is φ = 135364608000.

The previous prime is 787745518517. The next prime is 787745518601. The reversal of 787745518560 is 65815547787.

787745518560 is a `hidden beast` number, since 7 + 8 + 7 + 7 + 4 + 55 + 18 + 560 = 666.

It is a super-3 number, since 3×787745518560³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12913860930 + ... + 12913860990.

It is an arithmetic number, because the mean of its divisors is an integer number (1163967168).

Almost surely, 2^787745518560 is an apocalyptic number.

787745518560 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 787745518560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011335266304).

787745518560 is an abundant number, since it is smaller than the sum of its proper divisors (3234925014048).

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

787745518560 is a wasteful number, since it uses less digits than its factorization.

787745518560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 65856000, while the sum is 63.

The spelling of 787745518560 in words is "seven hundred eighty-seven billion, seven hundred forty-five million, five hundred eighteen thousand, five hundred sixty".