37972780560 has 800 divisors, whose sum is σ = 158711591808. Its totient is φ = 8291082240.

The previous prime is 37972780537. The next prime is 37972780561. The reversal of 37972780560 is 6508727973.

37972780560 is a `hidden beast` number, since 3 + 7 + 9 + 7 + 2 + 78 + 0 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 37972780497 and 37972780506.

It is not an unprimeable number, because it can be changed into a prime (37972780561) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 39845044 + ... + 39845996.

Almost surely, 2^37972780560 is an apocalyptic number.

37972780560 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 37972780560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79355795904).

37972780560 is an abundant number, since it is smaller than the sum of its proper divisors (120738811248).

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

37972780560 is a wasteful number, since it uses less digits than its factorization.

37972780560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 37972780560 in words is "thirty-seven billion, nine hundred seventy-two million, seven hundred eighty thousand, five hundred sixty".