37482428803680 has 768 divisors, whose sum is σ = 157862205849600. Its totient is φ = 8114364241920.

The previous prime is 37482428803667. The next prime is 37482428803741. The reversal of 37482428803680 is 8630882428473.

37482428803680 is a `hidden beast` number, since 3 + 7 + 482 + 42 + 8 + 8 + 0 + 36 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3281306449 + ... + 3281317871.

It is an arithmetic number, because the mean of its divisors is an integer number (205549747200).

Almost surely, 2^{37482428803680} is an apocalyptic number.

37482428803680 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 37482428803680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78931102924800).

37482428803680 is an abundant number, since it is smaller than the sum of its proper divisors (120379777045920).

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

37482428803680 is a wasteful number, since it uses less digits than its factorization.

37482428803680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17184 (or 17170 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 37482428803680 in words is "thirty-seven trillion, four hundred eighty-two billion, four hundred twenty-eight million, eight hundred three thousand, six hundred eighty".