677620214352 has 640 divisors, whose sum is σ = 2206144512000. Its totient is φ = 198132480000.

The previous prime is 677620214347. The next prime is 677620214357. The reversal of 677620214352 is 253412026776.

677620214352 is a `hidden beast` number, since 6 + 7 + 7 + 6 + 202 + 1 + 435 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (677620214347) and next prime (677620214357).

It is a junction number, because it is equal to n+sod(n) for n = 677620214298 and 677620214307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677620214357) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 966647602 + ... + 966648302.

It is an arithmetic number, because the mean of its divisors is an integer number (3447100800).

Almost surely, 2^677620214352 is an apocalyptic number.

677620214352 is a gapful number since it is divisible by the number (62) 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 677620214352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103072256000).

677620214352 is an abundant number, since it is smaller than the sum of its proper divisors (1528524297648).

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

677620214352 is a wasteful number, since it uses less digits than its factorization.

677620214352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 677620214352 in words is "six hundred seventy-seven billion, six hundred twenty million, two hundred fourteen thousand, three hundred fifty-two".