77037546432 has 224 divisors, whose sum is σ = 256596148224. Its totient is φ = 19815091200.

The previous prime is 77037546389. The next prime is 77037546461. The reversal of 77037546432 is 23464573077.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1497457 + ... + 1548047.

Almost surely, 2^77037546432 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 77037546432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128298074112).

77037546432 is an abundant number, since it is smaller than the sum of its proper divisors (179558601792).

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

77037546432 is a wasteful number, since it uses less digits than its factorization.

77037546432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50727 (or 50717 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 48.

The spelling of 77037546432 in words is "seventy-seven billion, thirty-seven million, five hundred forty-six thousand, four hundred thirty-two".