680629265510400 has 3120 divisors, whose sum is σ = 2763606934978560. Its totient is φ = 164940978585600.

The previous prime is 680629265510377. The next prime is 680629265510459. The reversal of 680629265510400 is 4015562926086.

680629265510400 is a `hidden beast` number, since 6 + 8 + 0 + 6 + 29 + 2 + 65 + 510 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 620446002652 + ... + 620446003748.

Almost surely, 2^{680629265510400} is an apocalyptic number.

680629265510400 is a gapful number since it is divisible by the number (60) 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 680629265510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381803467489280).

680629265510400 is an abundant number, since it is smaller than the sum of its proper divisors (2082977669468160).

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

680629265510400 is a wasteful number, since it uses less digits than its factorization.

680629265510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 680629265510400 in words is "six hundred eighty trillion, six hundred twenty-nine billion, two hundred sixty-five million, five hundred ten thousand, four hundred".