670403677680 has 640 divisors, whose sum is σ = 2566082903040. Its totient is φ = 159509053440.

The previous prime is 670403677663. The next prime is 670403677693. The reversal of 670403677680 is 86776304076.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 561947164 + ... + 561948356.

It is an arithmetic number, because the mean of its divisors is an integer number (4009504536).

Almost surely, 2^670403677680 is an apocalyptic number.

670403677680 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 670403677680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283041451520).

670403677680 is an abundant number, since it is smaller than the sum of its proper divisors (1895679225360).

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

670403677680 is a wasteful number, since it uses less digits than its factorization.

670403677680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 670403677680 in words is "six hundred seventy billion, four hundred three million, six hundred seventy-seven thousand, six hundred eighty".