679036271040 has 560 divisors, whose sum is σ = 2516568764160. Its totient is φ = 173605109760.

The previous prime is 679036271027. The next prime is 679036271077. The reversal of 679036271040 is 40172630976.

679036271040 is a `hidden beast` number, since 6 + 7 + 9 + 0 + 3 + 627 + 10 + 4 + 0 = 666.

679036271040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×679036271040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87579804 + ... + 87587556.

Almost surely, 2^679036271040 is an apocalyptic number.

679036271040 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 679036271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258284382080).

679036271040 is an abundant number, since it is smaller than the sum of its proper divisors (1837532493120).

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

679036271040 is a wasteful number, since it uses less digits than its factorization.

679036271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7922 (or 7903 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 679036271040 in words is "six hundred seventy-nine billion, thirty-six million, two hundred seventy-one thousand, forty".