7535400960 has 384 divisors, whose sum is σ = 26153487360. Its totient is φ = 1844969472.

The previous prime is 7535400941. The next prime is 7535400979. The reversal of 7535400960 is 690045357.

It is an interprime number because it is at equal distance from previous prime (7535400941) and next prime (7535400979).

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24545127 + ... + 24545433.

It is an arithmetic number, because the mean of its divisors is an integer number (68108040).

Almost surely, 2^7535400960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7535400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13076743680).

7535400960 is an abundant number, since it is smaller than the sum of its proper divisors (18618086400).

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

7535400960 is a wasteful number, since it uses less digits than its factorization.

7535400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 7535400960 is about 86806.6873000001. The cubic root of 7535400960 is about 1960.5087669952.

The spelling of 7535400960 in words is "seven billion, five hundred thirty-five million, four hundred thousand, nine hundred sixty".