77363103992640 has 448 divisors, whose sum is σ = 252144104239104. Its totient is φ = 20090374520832.

The previous prime is 77363103992627. The next prime is 77363103992663. The reversal of 77363103992640 is 4629930136377.

It is a super-2 number, since 2×77363103992640² (a number of 29 digits) contains 22 as substring.

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, 6033145269 + ... + 6033158091.

It is an arithmetic number, because the mean of its divisors is an integer number (562821661248).

Almost surely, 2^{77363103992640} 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 77363103992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126072052119552).

77363103992640 is an abundant number, since it is smaller than the sum of its proper divisors (174781000246464).

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

77363103992640 is a wasteful number, since it uses less digits than its factorization.

77363103992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13974 (or 13964 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 60.

The spelling of 77363103992640 in words is "seventy-seven trillion, three hundred sixty-three billion, one hundred three million, nine hundred ninety-two thousand, six hundred forty".