7137742560 has 192 divisors, whose sum is σ = 24995174400. Its totient is φ = 1700259840.

The previous prime is 7137742531. The next prime is 7137742567. The reversal of 7137742560 is 652477317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7137742567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174991 + ... + 211889.

It is an arithmetic number, because the mean of its divisors is an integer number (130183200).

Almost surely, 2^7137742560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7137742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12497587200).

7137742560 is an abundant number, since it is smaller than the sum of its proper divisors (17857431840).

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

7137742560 is a wasteful number, since it uses less digits than its factorization.

7137742560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36961 (or 36953 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The square root of 7137742560 is about 84485.1617741246. The cubic root of 7137742560 is about 1925.3970112728.

The spelling of 7137742560 in words is "seven billion, one hundred thirty-seven million, seven hundred forty-two thousand, five hundred sixty".