686793429504 has 480 divisors, whose sum is σ = 2446644904704. Its totient is φ = 180605583360.

The previous prime is 686793429499. The next prime is 686793429559. The reversal of 686793429504 is 405924397686.

686793429504 is a `hidden beast` number, since 6 + 8 + 6 + 79 + 34 + 29 + 504 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156407149 + ... + 156411539.

Almost surely, 2^686793429504 is an apocalyptic number.

686793429504 is a gapful number since it is divisible by the number (64) 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 686793429504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223322452352).

686793429504 is an abundant number, since it is smaller than the sum of its proper divisors (1759851475200).

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

686793429504 is a wasteful number, since it uses less digits than its factorization.

686793429504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4808 (or 4789 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 686793429504 in words is "six hundred eighty-six billion, seven hundred ninety-three million, four hundred twenty-nine thousand, five hundred four".