677102350400 has 168 divisors, whose sum is σ = 1904598395520. Its totient is φ = 232089661440.

The previous prime is 677102350387. The next prime is 677102350403. The reversal of 677102350400 is 4053201776.

It is a super-3 number, since 3×677102350400³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (677102350403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85933661 + ... + 85941539.

Almost surely, 2^677102350400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677102350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952299197760).

677102350400 is an abundant number, since it is smaller than the sum of its proper divisors (1227496045120).

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

677102350400 is a wasteful number, since it uses less digits than its factorization.

677102350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15581 (or 15566 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The spelling of 677102350400 in words is "six hundred seventy-seven billion, one hundred two million, three hundred fifty thousand, four hundred".