7542440640 has 1008 divisors, whose sum is σ = 33200949600. Its totient is φ = 1560674304.

The previous prime is 7542440617. The next prime is 7542440651. The reversal of 7542440640 is 460442457.

7542440640 is a `hidden beast` number, since 7 + 5 + 4 + 2 + 4 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7542440595 and 7542440604.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77757072 + ... + 77757168.

It is an arithmetic number, because the mean of its divisors is an integer number (32937450).

Almost surely, 2^7542440640 is an apocalyptic number.

7542440640 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 7542440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16600474800).

7542440640 is an abundant number, since it is smaller than the sum of its proper divisors (25658508960).

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

7542440640 is a wasteful number, since it uses less digits than its factorization.

7542440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 7542440640 is about 86847.2258624304. The cubic root of 7542440640 is about 1961.1190888105.

The spelling of 7542440640 in words is "seven billion, five hundred forty-two million, four hundred forty thousand, six hundred forty".