7535928960 has 640 divisors, whose sum is σ = 32405155200. Its totient is φ = 1630347264.

The previous prime is 7535928949. The next prime is 7535928991. The reversal of 7535928960 is 698295357.

7535928960 is a `hidden beast` number, since 7 + 5 + 359 + 289 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 7535928897 and 7535928906.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6894174 + ... + 6895266.

It is an arithmetic number, because the mean of its divisors is an integer number (50633055).

Almost surely, 2^7535928960 is an apocalyptic number.

7535928960 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 7535928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16202577600).

7535928960 is an abundant number, since it is smaller than the sum of its proper divisors (24869226240).

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

7535928960 is a wasteful number, since it uses less digits than its factorization.

7535928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 7535928960 is about 86809.7284870768. The cubic root of 7535928960 is about 1960.5545563946.

The spelling of 7535928960 in words is "seven billion, five hundred thirty-five million, nine hundred twenty-eight thousand, nine hundred sixty".