77964664357440 has 336 divisors, whose sum is σ = 306659805523968. Its totient is φ = 17809771180032.

The previous prime is 77964664357403. The next prime is 77964664357483. The reversal of 77964664357440 is 4475346646977.

77964664357440 is a `hidden beast` number, since 7 + 7 + 9 + 6 + 4 + 6 + 6 + 4 + 3 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32363334 + ... + 34688826.

Almost surely, 2^{77964664357440} is an apocalyptic number.

77964664357440 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 77964664357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153329902761984).

77964664357440 is an abundant number, since it is smaller than the sum of its proper divisors (228695141166528).

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

77964664357440 is a wasteful number, since it uses less digits than its factorization.

77964664357440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327186 (or 2327173 counting only the distinct ones).

The product of its (nonzero) digits is 2560481280, while the sum is 72.

The spelling of 77964664357440 in words is "seventy-seven trillion, nine hundred sixty-four billion, six hundred sixty-four million, three hundred fifty-seven thousand, four hundred forty".