7862140416 has 640 divisors, whose sum is σ = 26728289280. Its totient is φ = 2024275968.

The previous prime is 7862140327. The next prime is 7862140417. The reversal of 7862140416 is 6140412687.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7862140417) 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, 148342246 + ... + 148342298.

It is an arithmetic number, because the mean of its divisors is an integer number (41762952).

Almost surely, 2^7862140416 is an apocalyptic number.

7862140416 is a gapful number since it is divisible by the number (76) 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 7862140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13364144640).

7862140416 is an abundant number, since it is smaller than the sum of its proper divisors (18866148864).

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

7862140416 is a wasteful number, since it uses less digits than its factorization.

7862140416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 7862140416 is about 88668.7115954664. The cubic root of 7862140416 is about 1988.4450717138.

The spelling of 7862140416 in words is "seven billion, eight hundred sixty-two million, one hundred forty thousand, four hundred sixteen".