977655399840 has 1152 divisors, whose sum is σ = 4123872829440. Its totient is φ = 205941325824.

The previous prime is 977655399811. The next prime is 977655399899. The reversal of 977655399840 is 48993556779.

977655399840 is a `hidden beast` number, since 9 + 7 + 7 + 6 + 5 + 539 + 9 + 84 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2817450547 + ... + 2817450893.

It is an arithmetic number, because the mean of its divisors is an integer number (3579750720).

Almost surely, 2^977655399840 is an apocalyptic number.

977655399840 is a gapful number since it is divisible by the number (90) 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 977655399840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061936414720).

977655399840 is an abundant number, since it is smaller than the sum of its proper divisors (3146217429600).

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

977655399840 is a wasteful number, since it uses less digits than its factorization.

977655399840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 72.

The spelling of 977655399840 in words is "nine hundred seventy-seven billion, six hundred fifty-five million, three hundred ninety-nine thousand, eight hundred forty".