675776640 has 384 divisors, whose sum is σ = 2737696320. Its totient is φ = 140206080.

The previous prime is 675776627. The next prime is 675776681. The reversal of 675776640 is 46677576.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 675776640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034554 + ... + 1035206.

Almost surely, 2^675776640 is an apocalyptic number.

675776640 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 675776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368848160).

675776640 is an abundant number, since it is smaller than the sum of its proper divisors (2061919680).

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

675776640 is a wasteful number, since it uses less digits than its factorization.

675776640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The square root of 675776640 is about 25995.7042605120. The cubic root of 675776640 is about 877.5416234994.

The spelling of 675776640 in words is "six hundred seventy-five million, seven hundred seventy-six thousand, six hundred forty".