6077494886400 has 1536 divisors, whose sum is σ = 27031457376000. Its totient is φ = 1306861240320.

The previous prime is 6077494886389. The next prime is 6077494886429. The reversal of 6077494886400 is 46884947706.

6077494886400 is a `hidden beast` number, since 6 + 0 + 7 + 7 + 494 + 88 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2632088446 + ... + 2632090754.

Almost surely, 2^{6077494886400} is an apocalyptic number.

6077494886400 is a gapful number since it is divisible by the number (60) 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 6077494886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13515728688000).

6077494886400 is an abundant number, since it is smaller than the sum of its proper divisors (20953962489600).

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

6077494886400 is a wasteful number, since it uses less digits than its factorization.

6077494886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 6077494886400 in words is "six trillion, seventy-seven billion, four hundred ninety-four million, eight hundred eighty-six thousand, four hundred".