973557152640 has 768 divisors, whose sum is σ = 3633270681600. Its totient is φ = 246119178240.

The previous prime is 973557152627. The next prime is 973557152647. The reversal of 973557152640 is 46251755379.

It is a happy number.

973557152640 is a `hidden beast` number, since 9 + 7 + 3 + 5 + 5 + 71 + 526 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973557152647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1504724797 + ... + 1504725443.

It is an arithmetic number, because the mean of its divisors is an integer number (4730821200).

Almost surely, 2^973557152640 is an apocalyptic number.

973557152640 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 973557152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816635340800).

973557152640 is an abundant number, since it is smaller than the sum of its proper divisors (2659713528960).

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

973557152640 is a wasteful number, since it uses less digits than its factorization.

973557152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 973557152640 in words is "nine hundred seventy-three billion, five hundred fifty-seven million, one hundred fifty-two thousand, six hundred forty".