77494910976000 has 3040 divisors, whose sum is σ = 341387642948352. Its totient is φ = 17122826649600.

The previous prime is 77494910975981. The next prime is 77494910976013. The reversal of 77494910976000 is 67901949477.

77494910976000 is a `hidden beast` number, since 7 + 7 + 4 + 9 + 4 + 9 + 10 + 9 + 7 + 600 + 0 = 666.

It is a super-2 number, since 2×77494910976000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 798916607952 + ... + 798916608048.

Almost surely, 2^{77494910976000} is an apocalyptic number.

77494910976000 is a gapful number since it is divisible by the number (70) 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 77494910976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170693821474176).

77494910976000 is an abundant number, since it is smaller than the sum of its proper divisors (263892731972352).

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

77494910976000 is an frugal number, since it uses more digits than its factorization.

77494910976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 77494910976000 in words is "seventy-seven trillion, four hundred ninety-four billion, nine hundred ten million, nine hundred seventy-six thousand".