7974267840 has 756 divisors, whose sum is σ = 35145576648. Its totient is φ = 1653442560.

The previous prime is 7974267839. The next prime is 7974267863. The reversal of 7974267840 is 487624797.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 17075287 + ... + 17075753.

It is an arithmetic number, because the mean of its divisors is an integer number (46488858).

Almost surely, 2^7974267840 is an apocalyptic number.

7974267840 is a gapful number since it is divisible by the number (70) 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 7974267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17572788324).

7974267840 is an abundant number, since it is smaller than the sum of its proper divisors (27171308808).

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

7974267840 is a wasteful number, since it uses less digits than its factorization.

7974267840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 7974267840 is about 89298.7560943600. The cubic root of 7974267840 is about 1997.8533501048.

The spelling of 7974267840 in words is "seven billion, nine hundred seventy-four million, two hundred sixty-seven thousand, eight hundred forty".