7445208960 has 576 divisors, whose sum is σ = 31046062320. Its totient is φ = 1700020224.

The previous prime is 7445208949. The next prime is 7445208971. The reversal of 7445208960 is 698025447.

It is a happy number.

7445208960 is a `hidden beast` number, since 7 + 44 + 520 + 89 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7445208949) and next prime (7445208971).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×7445208960² (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 71 ways as a sum of consecutive naturals, for example, 7619992 + ... + 7620968.

Almost surely, 2^7445208960 is an apocalyptic number.

7445208960 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 7445208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15523031160).

7445208960 is an abundant number, since it is smaller than the sum of its proper divisors (23600853360).

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

7445208960 is an equidigital number, since it uses as much as digits as its factorization.

7445208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7445208960 is about 86285.6242951281. The cubic root of 7445208960 is about 1952.6555063552.

The spelling of 7445208960 in words is "seven billion, four hundred forty-five million, two hundred eight thousand, nine hundred sixty".