36778677720 has 256 divisors, whose sum is σ = 120120537600. Its totient is φ = 8977674240.

The previous prime is 36778677713. The next prime is 36778677737. The reversal of 36778677720 is 2777687763.

It is a super-2 number, since 2×36778677720² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10000522 + ... + 10004198.

It is an arithmetic number, because the mean of its divisors is an integer number (469220850).

Almost surely, 2^36778677720 is an apocalyptic number.

36778677720 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 36778677720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60060268800).

36778677720 is an abundant number, since it is smaller than the sum of its proper divisors (83341859880).

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

36778677720 is a wasteful number, since it uses less digits than its factorization.

36778677720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 29042496, while the sum is 60.

The spelling of 36778677720 in words is "thirty-six billion, seven hundred seventy-eight million, six hundred seventy-seven thousand, seven hundred twenty".