77973698549376 has 320 divisors, whose sum is σ = 267222690567360. Its totient is φ = 22108134297600.

The previous prime is 77973698549311. The next prime is 77973698549387. The reversal of 77973698549376 is 67394589637977.

77973698549376 is a `hidden beast` number, since 7 + 7 + 9 + 7 + 36 + 9 + 85 + 493 + 7 + 6 = 666.

It is a super-3 number, since 3×77973698549376³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5406796 + ... + 13608116.

It is an arithmetic number, because the mean of its divisors is an integer number (835070908023).

Almost surely, 2^{77973698549376} 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 77973698549376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133611345283680).

77973698549376 is an abundant number, since it is smaller than the sum of its proper divisors (189248992017984).

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

77973698549376 is a wasteful number, since it uses less digits than its factorization.

77973698549376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8201485 (or 8201464 counting only the distinct ones).

The product of its digits is 90737055360, while the sum is 90.

The spelling of 77973698549376 in words is "seventy-seven trillion, nine hundred seventy-three billion, six hundred ninety-eight million, five hundred forty-nine thousand, three hundred seventy-six".