7542181920 has 576 divisors, whose sum is σ = 31535070336. Its totient is φ = 1496678400.

The previous prime is 7542181883. The next prime is 7542182023. The reversal of 7542181920 is 291812457.

It is a super-2 number, since 2×7542181920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5197195 + ... + 5198645.

It is an arithmetic number, because the mean of its divisors is an integer number (54748386).

Almost surely, 2^7542181920 is an apocalyptic number.

7542181920 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 7542181920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15767535168).

7542181920 is an abundant number, since it is smaller than the sum of its proper divisors (23992888416).

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

7542181920 is a wasteful number, since it uses less digits than its factorization.

7542181920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 7542181920 is about 86845.7363374852. The cubic root of 7542181920 is about 1961.0966651877.

The spelling of 7542181920 in words is "seven billion, five hundred forty-two million, one hundred eighty-one thousand, nine hundred twenty".