37820914560 has 1536 divisors, whose sum is σ = 169134376320. Its totient is φ = 7644119040.

The previous prime is 37820914541. The next prime is 37820914561. The reversal of 37820914560 is 6541902873.

37820914560 is a `hidden beast` number, since 3 + 7 + 82 + 0 + 9 + 1 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37820914561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 518094684 + ... + 518094756.

It is a 1-persistent number, because it is pandigital, but 2⋅37820914560 = 75641829120 is not.

Almost surely, 2^37820914560 is an apocalyptic number.

37820914560 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 37820914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84567188160).

37820914560 is an abundant number, since it is smaller than the sum of its proper divisors (131313461760).

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

37820914560 is a wasteful number, since it uses less digits than its factorization.

37820914560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 37820914560 in words is "thirty-seven billion, eight hundred twenty million, nine hundred fourteen thousand, five hundred sixty".