677346751200 has 576 divisors, whose sum is σ = 2606353182720. Its totient is φ = 149520384000.

The previous prime is 677346751157. The next prime is 677346751217. The reversal of 677346751200 is 2157643776.

It is a super-2 number, since 2×677346751200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 677346751200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 333831786 + ... + 333833814.

It is an arithmetic number, because the mean of its divisors is an integer number (4524918720).

Almost surely, 2^677346751200 is an apocalyptic number.

677346751200 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 677346751200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303176591360).

677346751200 is an abundant number, since it is smaller than the sum of its proper divisors (1929006431520).

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

677346751200 is a wasteful number, since it uses less digits than its factorization.

677346751200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The spelling of 677346751200 in words is "six hundred seventy-seven billion, three hundred forty-six million, seven hundred fifty-one thousand, two hundred".