7363560960 has 960 divisors, whose sum is σ = 32172940800. Its totient is φ = 1576599552.

The previous prime is 7363560943. The next prime is 7363560973. The reversal of 7363560960 is 690653637.

7363560960 = 8757² + 8758² + ... + 8851².

7363560960 is a `hidden beast` number, since 7 + 3 + 6 + 35 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×7363560960² (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 95 ways as a sum of consecutive naturals, for example, 82736596 + ... + 82736684.

It is an arithmetic number, because the mean of its divisors is an integer number (33513480).

Almost surely, 2^7363560960 is an apocalyptic number.

7363560960 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 7363560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16086470400).

7363560960 is an abundant number, since it is smaller than the sum of its proper divisors (24809379840).

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

7363560960 is an equidigital number, since it uses as much as digits as its factorization.

7363560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 7363560960 is about 85811.1936754174. The cubic root of 7363560960 is about 1945.4913110884.

The spelling of 7363560960 in words is "seven billion, three hundred sixty-three million, five hundred sixty thousand, nine hundred sixty".