37406132640 has 192 divisors, whose sum is σ = 135145221120. Its totient is φ = 9653160960.

The previous prime is 37406132627. The next prime is 37406132641. The reversal of 37406132640 is 4623160473.

It is a happy number.

37406132640 is a `hidden beast` number, since 3 + 7 + 4 + 0 + 6 + 1 + 3 + 2 + 640 = 666.

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 = 37406132595 and 37406132604.

It is not an unprimeable number, because it can be changed into a prime (37406132641) 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, 5739 + ... + 273578.

It is an arithmetic number, because the mean of its divisors is an integer number (703881360).

Almost surely, 2^37406132640 is an apocalyptic number.

37406132640 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 37406132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67572610560).

37406132640 is an abundant number, since it is smaller than the sum of its proper divisors (97739088480).

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

37406132640 is a wasteful number, since it uses less digits than its factorization.

37406132640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279372 (or 279358 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 37406132640 in words is "thirty-seven billion, four hundred six million, one hundred thirty-two thousand, six hundred forty".