677038053120 has 1152 divisors, whose sum is σ = 2668238254080. Its totient is φ = 144070410240.

The previous prime is 677038053019. The next prime is 677038053191. The reversal of 677038053120 is 21350830776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 954919326 + ... + 954920034.

It is an arithmetic number, because the mean of its divisors is an integer number (2316179040).

Almost surely, 2^677038053120 is an apocalyptic number.

677038053120 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 677038053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334119127040).

677038053120 is an abundant number, since it is smaller than the sum of its proper divisors (1991200200960).

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

677038053120 is a wasteful number, since it uses less digits than its factorization.

677038053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

Adding to 677038053120 its reverse (21350830776), we get a palindrome (698388883896).

The spelling of 677038053120 in words is "six hundred seventy-seven billion, thirty-eight million, fifty-three thousand, one hundred twenty".