807406227936 has 384 divisors, whose sum is σ = 2937841643520. Its totient is φ = 209586009600.

The previous prime is 807406227923. The next prime is 807406227937. The reversal of 807406227936 is 639722604708.

807406227936 is a `hidden beast` number, since 8 + 0 + 7 + 4 + 0 + 622 + 7 + 9 + 3 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807406227937) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156138631 + ... + 156143801.

It is an arithmetic number, because the mean of its divisors is an integer number (7650629280).

Almost surely, 2^807406227936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807406227936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468920821760).

807406227936 is an abundant number, since it is smaller than the sum of its proper divisors (2130435415584).

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

807406227936 is a wasteful number, since it uses less digits than its factorization.

807406227936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7555 (or 7541 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 807406227936 in words is "eight hundred seven billion, four hundred six million, two hundred twenty-seven thousand, nine hundred thirty-six".