7542746352 has 80 divisors (see below), whose sum is σ = 21759520000. Its totient is φ = 2501585856.

The previous prime is 7542746327. The next prime is 7542746363. The reversal of 7542746352 is 2536472457.

7542746352 is a `hidden beast` number, since 7 + 5 + 4 + 2 + 7 + 4 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7542746298 and 7542746307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42099 + ... + 129837.

It is an arithmetic number, because the mean of its divisors is an integer number (271994000).

Almost surely, 2^7542746352 is an apocalyptic number.

7542746352 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 7542746352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10879760000).

7542746352 is an abundant number, since it is smaller than the sum of its proper divisors (14216773648).

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

7542746352 is a wasteful number, since it uses less digits than its factorization.

7542746352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87955 (or 87943 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 45.

The square root of 7542746352 is about 86848.9859008152. The cubic root of 7542746352 is about 1961.1455846345.

The spelling of 7542746352 in words is "seven billion, five hundred forty-two million, seven hundred forty-six thousand, three hundred fifty-two".