37640654040 has 256 divisors, whose sum is σ = 130697763840. Its totient is φ = 8570880000.

The previous prime is 37640654039. The next prime is 37640654041. The reversal of 37640654040 is 4045604673.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (37640654039) and next prime (37640654041).

It is a self number, because there is not a number n which added to its sum of digits gives 37640654040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37640654041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13485045 + ... + 13487835.

It is an arithmetic number, because the mean of its divisors is an integer number (510538140).

Almost surely, 2^37640654040 is an apocalyptic number.

37640654040 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 37640654040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65348881920).

37640654040 is an abundant number, since it is smaller than the sum of its proper divisors (93057109800).

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

37640654040 is a wasteful number, since it uses less digits than its factorization.

37640654040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 37640654040 in words is "thirty-seven billion, six hundred forty million, six hundred fifty-four thousand, forty".