7380896460 has 288 divisors, whose sum is σ = 25896568320. Its totient is φ = 1560287232.

The previous prime is 7380896449. The next prime is 7380896473. The reversal of 7380896460 is 646980837.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 2947569 + ... + 2950071.

It is an arithmetic number, because the mean of its divisors is an integer number (89918640).

Almost surely, 2^7380896460 is an apocalyptic number.

7380896460 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 7380896460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12948284160).

7380896460 is an abundant number, since it is smaller than the sum of its proper divisors (18515671860).

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

7380896460 is a wasteful number, since it uses less digits than its factorization.

7380896460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 7380896460 is about 85912.1438447441. The cubic root of 7380896460 is about 1947.0168244955.

It can be divided in two parts, 7380 and 896460, that added together give a triangular number (903840 = T₁₃₄₄).

The spelling of 7380896460 in words is "seven billion, three hundred eighty million, eight hundred ninety-six thousand, four hundred sixty".