7920411984 has 120 divisors (see below), whose sum is σ = 23021255712. Its totient is φ = 2636219520.

The previous prime is 7920411973. The next prime is 7920412001. The reversal of 7920411984 is 4891140297.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3937539 + ... + 3939549.

Almost surely, 2^7920411984 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 7920411984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11510627856).

7920411984 is an abundant number, since it is smaller than the sum of its proper divisors (15100843728).

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

7920411984 is a wasteful number, since it uses less digits than its factorization.

7920411984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 7920411984 is about 88996.6964780154. The cubic root of 7920411984 is about 1993.3455490304.

It can be divided in two parts, 7920 and 411984, that added together give a square (419904 = 648²).

The spelling of 7920411984 in words is "seven billion, nine hundred twenty million, four hundred eleven thousand, nine hundred eighty-four".