7366146480 has 1440 divisors, whose sum is σ = 35195247360. Its totient is φ = 1410877440.

The previous prime is 7366146457. The next prime is 7366146533. The reversal of 7366146480 is 846416637.

It is a happy number.

7366146480 is a `hidden beast` number, since 73 + 6 + 61 + 46 + 480 = 666.

It is a super-2 number, since 2×7366146480² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 199085022 + ... + 199085058.

It is an arithmetic number, because the mean of its divisors is an integer number (24441144).

Almost surely, 2^7366146480 is an apocalyptic number.

7366146480 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 7366146480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17597623680).

7366146480 is an abundant number, since it is smaller than the sum of its proper divisors (27829100880).

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

7366146480 is a wasteful number, since it uses less digits than its factorization.

7366146480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 7366146480 is about 85826.2575206446. The cubic root of 7366146480 is about 1945.7189870777.

The spelling of 7366146480 in words is "seven billion, three hundred sixty-six million, one hundred forty-six thousand, four hundred eighty".