37727651340 has 192 divisors, whose sum is σ = 123920294400. Its totient is φ = 9502831872.

The previous prime is 37727651333. The next prime is 37727651347. The reversal of 37727651340 is 4315672773.

37727651340 is a `hidden beast` number, since 3 + 77 + 27 + 6 + 513 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (37727651333) and next prime (37727651347).

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

It is not an unprimeable number, because it can be changed into a prime (37727651347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3554922 + ... + 3565518.

It is an arithmetic number, because the mean of its divisors is an integer number (645418200).

Almost surely, 2^37727651340 is an apocalyptic number.

37727651340 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 37727651340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61960147200).

37727651340 is an abundant number, since it is smaller than the sum of its proper divisors (86192643060).

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

37727651340 is a wasteful number, since it uses less digits than its factorization.

37727651340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10981 (or 10973 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 37727651340 in words is "thirty-seven billion, seven hundred twenty-seven million, six hundred fifty-one thousand, three hundred forty".