7552965420 has 768 divisors, whose sum is σ = 32107622400. Its totient is φ = 1423319040.

The previous prime is 7552965397. The next prime is 7552965467. The reversal of 7552965420 is 245692557.

7552965420 is a `hidden beast` number, since 7 + 552 + 96 + 5 + 4 + 2 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 48107982 + ... + 48108138.

It is an arithmetic number, because the mean of its divisors is an integer number (41806800).

Almost surely, 2^7552965420 is an apocalyptic number.

7552965420 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 7552965420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16053811200).

7552965420 is an abundant number, since it is smaller than the sum of its proper divisors (24554656980).

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

7552965420 is a wasteful number, since it uses less digits than its factorization.

7552965420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 7552965420 is about 86907.7983842647. The cubic root of 7552965420 is about 1962.0308517626.

The spelling of 7552965420 in words is "seven billion, five hundred fifty-two million, nine hundred sixty-five thousand, four hundred twenty".