77036511678048 has 480 divisors, whose sum is σ = 254171778981120. Its totient is φ = 22728429342720.

The previous prime is 77036511678029. The next prime is 77036511678059. The reversal of 77036511678048 is 84087611563077.

77036511678048 is a `hidden beast` number, since 7 + 7 + 0 + 3 + 6 + 511 + 6 + 78 + 0 + 48 = 666.

It is a super-3 number, since 3×77036511678048³ (a number of 43 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 113520486 + ... + 114197082.

It is an arithmetic number, because the mean of its divisors is an integer number (529524539544).

Almost surely, 2^{77036511678048} is an apocalyptic number.

77036511678048 is a gapful number since it is divisible by the number (78) 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 77036511678048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127085889490560).

77036511678048 is an abundant number, since it is smaller than the sum of its proper divisors (177135267303072).

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

77036511678048 is a wasteful number, since it uses less digits than its factorization.

77036511678048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676772 (or 676755 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 77036511678048 in words is "seventy-seven trillion, thirty-six billion, five hundred eleven million, six hundred seventy-eight thousand, forty-eight".