7485609600 has 384 divisors, whose sum is σ = 31311388800. Its totient is φ = 1710858240.

The previous prime is 7485609589. The next prime is 7485609611. The reversal of 7485609600 is 69065847.

It is an interprime number because it is at equal distance from previous prime (7485609589) and next prime (7485609611).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×7485609600² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 598612 + ... + 610988.

It is an arithmetic number, because the mean of its divisors is an integer number (81540075).

Almost surely, 2^7485609600 is an apocalyptic number.

7485609600 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 7485609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15655694400).

7485609600 is an abundant number, since it is smaller than the sum of its proper divisors (23825779200).

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

7485609600 is a wasteful number, since it uses less digits than its factorization.

7485609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12417 (or 12394 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7485609600 is about 86519.4174737671. The cubic root of 7485609600 is about 1956.1810965602.

The spelling of 7485609600 in words is "seven billion, four hundred eighty-five million, six hundred nine thousand, six hundred".