37240603890064 has 45 divisors (see below), whose sum is σ = 73159116893793. Its totient is φ = 18364350554496.

The previous prime is 37240603890059. The next prime is 37240603890067. The reversal of 37240603890064 is 46009830604273.

It is a happy number.

The square root of 37240603890064 is 6102508.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21139580928400 + 16101022961664 = 4597780^2 + 4012608^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 37240603889993 and 37240603890020.

It is not an unprimeable number, because it can be changed into a prime (37240603890067) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1781921887 + ... + 1781942785.

Almost surely, 2^{37240603890064} is an apocalyptic number.

37240603890064 is the 6102508-th square number.

It is an amenable number.

37240603890064 is a deficient number, since it is larger than the sum of its proper divisors (35918513003729).

37240603890064 is an frugal number, since it uses more digits than its factorization.

37240603890064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41952 (or 20974 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 52.

The spelling of 37240603890064 in words is "thirty-seven trillion, two hundred forty billion, six hundred three million, eight hundred ninety thousand, sixty-four".