677570709752640 has 2688 divisors, whose sum is σ = 2751830133534720. Its totient is φ = 156650250240000.

The previous prime is 677570709752617. The next prime is 677570709752707. The reversal of 677570709752640 is 46257907075776.

677570709752640 is a `hidden beast` number, since 6 + 7 + 7 + 5 + 7 + 0 + 7 + 0 + 97 + 526 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1037627426554 + ... + 1037627427206.

It is an arithmetic number, because the mean of its divisors is an integer number (1023746329440).

Almost surely, 2^{677570709752640} is an apocalyptic number.

677570709752640 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 677570709752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375915066767360).

677570709752640 is an abundant number, since it is smaller than the sum of its proper divisors (2074259423782080).

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

677570709752640 is a wasteful number, since it uses less digits than its factorization.

677570709752640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 1089093600, while the sum is 72.

The spelling of 677570709752640 in words is "six hundred seventy-seven trillion, five hundred seventy billion, seven hundred nine million, seven hundred fifty-two thousand, six hundred forty".