7738461360 has 960 divisors, whose sum is σ = 33667845120. Its totient is φ = 1612431360.

The previous prime is 7738461359. The next prime is 7738461361. The reversal of 7738461360 is 631648377.

It is an interprime number because it is at equal distance from previous prime (7738461359) and next prime (7738461361).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7738461361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106006284 + ... + 106006356.

It is an arithmetic number, because the mean of its divisors is an integer number (35070672).

Almost surely, 2^7738461360 is an apocalyptic number.

7738461360 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 7738461360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16833922560).

7738461360 is an abundant number, since it is smaller than the sum of its proper divisors (25929383760).

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

7738461360 is a wasteful number, since it uses less digits than its factorization.

7738461360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 7738461360 is about 87968.5248256443. The cubic root of 7738461360 is about 1977.9631947344.

The spelling of 7738461360 in words is "seven billion, seven hundred thirty-eight million, four hundred sixty-one thousand, three hundred sixty".