7645152480 has 288 divisors, whose sum is σ = 28547243424. Its totient is φ = 1714212864.

The previous prime is 7645152439. The next prime is 7645152481. The reversal of 7645152480 is 842515467.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7645152481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1243494 + ... + 1249626.

It is an arithmetic number, because the mean of its divisors is an integer number (99122373).

Almost surely, 2^7645152480 is an apocalyptic number.

7645152480 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 7645152480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14273621712).

7645152480 is an abundant number, since it is smaller than the sum of its proper divisors (20902090944).

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

7645152480 is a wasteful number, since it uses less digits than its factorization.

7645152480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6218 (or 6203 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 7645152480 is about 87436.5626039816. The cubic root of 7645152480 is about 1969.9810591942.

The spelling of 7645152480 in words is "seven billion, six hundred forty-five million, one hundred fifty-two thousand, four hundred eighty".