677499863040 has 3072 divisors, whose sum is σ = 3462563220480. Its totient is φ = 122305904640.

The previous prime is 677499863039. The next prime is 677499863071. The reversal of 677499863040 is 40368994776.

677499863040 is a `hidden beast` number, since 6 + 77 + 499 + 8 + 6 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39852933112 + ... + 39852933128.

It is an arithmetic number, because the mean of its divisors is an integer number (1127136465).

Almost surely, 2^677499863040 is an apocalyptic number.

677499863040 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 677499863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731281610240).

677499863040 is an abundant number, since it is smaller than the sum of its proper divisors (2785063357440).

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

677499863040 is a wasteful number, since it uses less digits than its factorization.

677499863040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 677499863040 in words is "six hundred seventy-seven billion, four hundred ninety-nine million, eight hundred sixty-three thousand, forty".