679561126070400 has 1536 divisors, whose sum is σ = 2962011847680000. Its totient is φ = 152023089254400.

The previous prime is 679561126070389. The next prime is 679561126070419. The reversal of 679561126070400 is 4070621165976.

679561126070400 is a `hidden beast` number, since 6 + 7 + 9 + 56 + 112 + 6 + 0 + 70 + 400 = 666.

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

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, 1392610455 + ... + 1393098345.

It is an arithmetic number, because the mean of its divisors is an integer number (1928393130000).

Almost surely, 2^{679561126070400} is an apocalyptic number.

679561126070400 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 679561126070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481005923840000).

679561126070400 is an abundant number, since it is smaller than the sum of its proper divisors (2282450721609600).

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

679561126070400 is a wasteful number, since it uses less digits than its factorization.

679561126070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487992 (or 487955 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 679561126070400 in words is "six hundred seventy-nine trillion, five hundred sixty-one billion, one hundred twenty-six million, seventy thousand, four hundred".