679678057800 has 768 divisors, whose sum is σ = 2710326528000. Its totient is φ = 153351429120.

The previous prime is 679678057789. The next prime is 679678057811. The reversal of 679678057800 is 8750876976.

It is an interprime number because it is at equal distance from previous prime (679678057789) and next prime (679678057811).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1455413167 + ... + 1455413633.

It is an arithmetic number, because the mean of its divisors is an integer number (3529071000).

Almost surely, 2^679678057800 is an apocalyptic number.

679678057800 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 679678057800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355163264000).

679678057800 is an abundant number, since it is smaller than the sum of its proper divisors (2030648470200).

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

679678057800 is a wasteful number, since it uses less digits than its factorization.

679678057800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 679678057800 in words is "six hundred seventy-nine billion, six hundred seventy-eight million, fifty-seven thousand, eight hundred".