7542088122240 has 2304 divisors, whose sum is σ = 33698881681920. Its totient is φ = 1603007594496.

The previous prime is 7542088122157. The next prime is 7542088122301. The reversal of 7542088122240 is 422218802457.

7542088122240 is a `hidden beast` number, since 7 + 5 + 420 + 88 + 122 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6485027899 + ... + 6485029061.

It is an arithmetic number, because the mean of its divisors is an integer number (14626250730).

Almost surely, 2^{7542088122240} is an apocalyptic number.

7542088122240 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 7542088122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16849440840960).

7542088122240 is an abundant number, since it is smaller than the sum of its proper divisors (26156793559680).

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

7542088122240 is a wasteful number, since it uses less digits than its factorization.

7542088122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 7542088122240 in words is "seven trillion, five hundred forty-two billion, eighty-eight million, one hundred twenty-two thousand, two hundred forty".