37225242744480 has 3024 divisors, whose sum is σ = 168424997884416. Its totient is φ = 7739133050880.

The previous prime is 37225242744467. The next prime is 37225242744509. The reversal of 37225242744480 is 8444724252273.

37225242744480 is a `hidden beast` number, since 3 + 7 + 2 + 2 + 52 + 42 + 74 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 51203909877 + ... + 51203910603.

It is an arithmetic number, because the mean of its divisors is an integer number (55696097184).

Almost surely, 2^{37225242744480} is an apocalyptic number.

37225242744480 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 37225242744480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84212498942208).

37225242744480 is an abundant number, since it is smaller than the sum of its proper divisors (131199755139936).

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

37225242744480 is a wasteful number, since it uses less digits than its factorization.

37225242744480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 54.

The spelling of 37225242744480 in words is "thirty-seven trillion, two hundred twenty-five billion, two hundred forty-two million, seven hundred forty-four thousand, four hundred eighty".