407878696960 has 544 divisors, whose sum is σ = 1207950336000. Its totient is φ = 131790274560.

The previous prime is 407878696957. The next prime is 407878696961. The reversal of 407878696960 is 69696878704.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 407878696960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407878696961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2135490465 + ... + 2135490655.

Almost surely, 2^407878696960 is an apocalyptic number.

407878696960 is a gapful number since it is divisible by the number (40) 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 407878696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603975168000).

407878696960 is an abundant number, since it is smaller than the sum of its proper divisors (800071639040).

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

407878696960 is an frugal number, since it uses more digits than its factorization.

407878696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 70.

The spelling of 407878696960 in words is "four hundred seven billion, eight hundred seventy-eight million, six hundred ninety-six thousand, nine hundred sixty".