37782478690304 has 96 divisors (see below), whose sum is σ = 79527959784000. Its totient is φ = 17895766597632.

The previous prime is 37782478690273. The next prime is 37782478690351. The reversal of 37782478690304 is 40309687428773.

It is a happy number.

It is a super-2 number, since 2×37782478690304² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 908146367 + ... + 908187969.

It is an arithmetic number, because the mean of its divisors is an integer number (828416247750).

Almost surely, 2^{37782478690304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37782478690304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39763979892000).

37782478690304 is an abundant number, since it is smaller than the sum of its proper divisors (41745481093696).

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

37782478690304 is a wasteful number, since it uses less digits than its factorization.

37782478690304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64983 (or 64963 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 68.

The spelling of 37782478690304 in words is "thirty-seven trillion, seven hundred eighty-two billion, four hundred seventy-eight million, six hundred ninety thousand, three hundred four".