907009728049152 has 3744 divisors, whose sum is σ = 3563920586844800. Its totient is φ = 220741773557760.

The previous prime is 907009728049147. The next prime is 907009728049219. The reversal of 907009728049152 is 251940827900709.

907009728049152 is a `hidden beast` number, since 9 + 0 + 7 + 0 + 0 + 97 + 2 + 8 + 0 + 491 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

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

It is a self number, because there is not a number n which added to its sum of digits gives 907009728049152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2897794658148 + ... + 2897794658460.

Almost surely, 2^{907009728049152} 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 907009728049152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781960293422400).

907009728049152 is an abundant number, since it is smaller than the sum of its proper divisors (2656910858795648).

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

907009728049152 is a wasteful number, since it uses less digits than its factorization.

907009728049152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 907009728049152 in words is "nine hundred seven trillion, nine billion, seven hundred twenty-eight million, forty-nine thousand, one hundred fifty-two".