7378403760 has 480 divisors, whose sum is σ = 32107944960. Its totient is φ = 1474578432.

The previous prime is 7378403723. The next prime is 7378403797. The reversal of 7378403760 is 673048737.

It is an interprime number because it is at equal distance from previous prime (7378403723) and next prime (7378403797).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1241917 + ... + 1247843.

It is an arithmetic number, because the mean of its divisors is an integer number (66891552).

Almost surely, 2^7378403760 is an apocalyptic number.

7378403760 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 7378403760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16053972480).

7378403760 is an abundant number, since it is smaller than the sum of its proper divisors (24729541200).

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

7378403760 is a wasteful number, since it uses less digits than its factorization.

7378403760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5985 (or 5976 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 7378403760 is about 85897.6353574416. The cubic root of 7378403760 is about 1946.7976155630.

The spelling of 7378403760 in words is "seven billion, three hundred seventy-eight million, four hundred three thousand, seven hundred sixty".