37742261760 has 720 divisors, whose sum is σ = 154022208912. Its totient is φ = 8515584000.

The previous prime is 37742261749. The next prime is 37742261797. The reversal of 37742261760 is 6716224773.

37742261760 is a `hidden beast` number, since 3 + 7 + 7 + 4 + 22 + 617 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 114024795 + ... + 114025125.

Almost surely, 2^37742261760 is an apocalyptic number.

37742261760 is a gapful number since it is divisible by the number (30) 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 37742261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77011104456).

37742261760 is an abundant number, since it is smaller than the sum of its proper divisors (116279947152).

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

37742261760 is a wasteful number, since it uses less digits than its factorization.

37742261760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 37742261760 in words is "thirty-seven billion, seven hundred forty-two million, two hundred sixty-one thousand, seven hundred sixty".