3747166064640 has 1248 divisors, whose sum is σ = 14803624442880. Its totient is φ = 904968142848.

The previous prime is 3747166064639. The next prime is 3747166064641. The reversal of 3747166064640 is 464606617473.

3747166064640 is a `hidden beast` number, since 37 + 471 + 6 + 60 + 6 + 46 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3747166064639) and next prime (3747166064641).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3747166064641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2174790819 + ... + 2174792541.

It is an arithmetic number, because the mean of its divisors is an integer number (11861878560).

Almost surely, 2^{3747166064640} is an apocalyptic number.

3747166064640 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 3747166064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7401812221440).

3747166064640 is an abundant number, since it is smaller than the sum of its proper divisors (11056458378240).

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

3747166064640 is a wasteful number, since it uses less digits than its factorization.

3747166064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 3747166064640 in words is "three trillion, seven hundred forty-seven billion, one hundred sixty-six million, sixty-four thousand, six hundred forty".