7865633780928 has 1344 divisors, whose sum is σ = 30789001850880. Its totient is φ = 1928871014400.

The previous prime is 7865633780911. The next prime is 7865633780989. The reversal of 7865633780928 is 8290873365687.

It is a happy number.

7865633780928 is a `hidden beast` number, since 7 + 8 + 6 + 563 + 37 + 8 + 0 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 11899596918 + ... + 11899597578.

It is an arithmetic number, because the mean of its divisors is an integer number (22908483520).

Almost surely, 2^{7865633780928} 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 7865633780928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15394500925440).

7865633780928 is an abundant number, since it is smaller than the sum of its proper divisors (22923368069952).

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

7865633780928 is a wasteful number, since it uses less digits than its factorization.

7865633780928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

It can be divided in two parts, 7865633 and 780928, that added together give a triangular number (8646561 = T₄₁₅₈).

The spelling of 7865633780928 in words is "seven trillion, eight hundred sixty-five billion, six hundred thirty-three million, seven hundred eighty thousand, nine hundred twenty-eight".