670578015744 has 960 divisors, whose sum is σ = 2655340047360. Its totient is φ = 157659955200.

The previous prime is 670578015743. The next prime is 670578015803. The reversal of 670578015744 is 447510875076.

670578015744 is a `hidden beast` number, since 67 + 0 + 5 + 7 + 8 + 0 + 1 + 574 + 4 = 666.

It is a super-3 number, since 3×670578015744³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (670578015743) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135440469 + ... + 135445419.

It is an arithmetic number, because the mean of its divisors is an integer number (2765979216).

Almost surely, 2^670578015744 is an apocalyptic number.

670578015744 is a gapful number since it is divisible by the number (64) 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 670578015744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327670023680).

670578015744 is an abundant number, since it is smaller than the sum of its proper divisors (1984762031616).

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

670578015744 is a wasteful number, since it uses less digits than its factorization.

670578015744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5031 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 670578015744 in words is "six hundred seventy billion, five hundred seventy-eight million, fifteen thousand, seven hundred forty-four".