7495517952 has 144 divisors (see below), whose sum is σ = 23870894880. Its totient is φ = 2306285568.

The previous prime is 7495517929. The next prime is 7495517959. The reversal of 7495517952 is 2597155947.

It is a happy number.

7495517952 is a `hidden beast` number, since 74 + 9 + 5 + 517 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7495517959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48148 + ... + 131564.

Almost surely, 2^7495517952 is an apocalyptic number.

7495517952 is a gapful number since it is divisible by the number (72) 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 7495517952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11935447440).

7495517952 is an abundant number, since it is smaller than the sum of its proper divisors (16375376928).

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

7495517952 is a wasteful number, since it uses less digits than its factorization.

7495517952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83455 (or 83435 counting only the distinct ones).

The product of its digits is 3969000, while the sum is 54.

The square root of 7495517952 is about 86576.6593950125. The cubic root of 7495517952 is about 1957.0438178918.

The spelling of 7495517952 in words is "seven billion, four hundred ninety-five million, five hundred seventeen thousand, nine hundred fifty-two".