676852148700 has 1296 divisors, whose sum is σ = 2846840290560. Its totient is φ = 135061655040.

The previous prime is 676852148699. The next prime is 676852148717. The reversal of 676852148700 is 7841258676.

676852148700 is a `hidden beast` number, since 6 + 7 + 6 + 8 + 521 + 48 + 70 + 0 = 666.

676852148700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1153069807 + ... + 1153070393.

Almost surely, 2^676852148700 is an apocalyptic number.

676852148700 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 676852148700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423420145280).

676852148700 is an abundant number, since it is smaller than the sum of its proper divisors (2169988141860).

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

676852148700 is a wasteful number, since it uses less digits than its factorization.

676852148700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 676852148700 in words is "six hundred seventy-six billion, eight hundred fifty-two million, one hundred forty-eight thousand, seven hundred".