36777742848 has 720 divisors, whose sum is σ = 138671332800. Its totient is φ = 9525288960.

The previous prime is 36777742819. The next prime is 36777742867. The reversal of 36777742848 is 84824777763.

36777742848 is a `hidden beast` number, since 36 + 77 + 77 + 428 + 48 = 666.

It is a super-2 number, since 2×36777742848² (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105380178 + ... + 105380526.

Almost surely, 2^36777742848 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 36777742848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69335666400).

36777742848 is an abundant number, since it is smaller than the sum of its proper divisors (101893589952).

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

36777742848 is an equidigital number, since it uses as much as digits as its factorization.

36777742848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 372 counting only the distinct ones).

The product of its digits is 88510464, while the sum is 63.

The spelling of 36777742848 in words is "thirty-six billion, seven hundred seventy-seven million, seven hundred forty-two thousand, eight hundred forty-eight".